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Under Sahara, delicious tuber
Greek cheese, asian sword way
Translucent dead, getting older
Communication device, outdoor shelter
Heawy iron block, Neeson's name
Shining coating, exists forever
Prime prime, standing infinity
Stack gone rong, carbon-based

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    $\begingroup$ Heawy instead of Heavy, gone rong, instead of gone wrong. Typos or intended? $\endgroup$
    – PL457
    May 9, 2018 at 13:43
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    $\begingroup$ Definitely not typos ;) $\endgroup$
    – Keelhaul
    May 9, 2018 at 13:46

5 Answers 5

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Thanks to all partial answers and @Riley's comment:

Under Sahara, delicious tuber

SAHEL, POTATO
The Sahel is a region south of the Sahara. Thanks @bandrade.

Greek cheese, asian sword way

FETA, KENDO
Kendo is literally "the way of the sword" in japanese. Thanks to @Teo, and to the OP for the explanation.

Translucent dead, getting older

GHOST, AGEING
Thanks to @Teo.

Communication device, outdoor shelter

PHONE, TENT
Thanks to @Rand al'Thor for PHONE and to @Daniel Baliki for TENT

Heawy iron block, Neeson's name

ANWIL, LIAM
Thanks to @Teo for ANWIL and to @Rand al'Thor for LIAM.

Shining coating, exists forever

LUSTRE, ETERNAL
Thanks to @DanielBaliki for ETERNAL.

Prime prime, standing infinity

2, 8
2 is the first ("prime") prime. 8 is $\infty$ on end. Thanks to @Rand al'Thor.

Stack gone rong, carbon-based

OVERFLO, ORGANIC
Thanks to @Teo

Everything put together:

SAHEL POTATO
FETA KENDO
GHOST AGEING
PHONE TENT
ANWIL LIAM
LUSTRE ETERNAL
2 8
OVERFLO ORGANIC

We get the sentence:

Help taken hostage 110 William Street 28 floor

Explanation

StackExchange has an office at 110 William Street on the 28th floor!

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    $\begingroup$ Thank you! Seing how clever this community is for solving this so quickly, they freed me in fear of retaliation! Hopefully they will learn from their mistake... $\endgroup$
    – Keelhaul
    May 9, 2018 at 17:34
  • $\begingroup$ @barto Very nice, I was expecting the form to change up and not be entirely the same for the others. $\endgroup$
    – theREALyumdub
    May 9, 2018 at 17:34
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    $\begingroup$ @theREALyumdub Thanks! I'm new to the site and the answers here are the only I've seen; I'll add more details too. $\endgroup$
    – user16074
    May 9, 2018 at 17:40
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Partial answer

Under Sahara, delicious tuber

Something, POTATO?

Greek cheese, asian sword way

FETA, KENDO (thanks @Teo). There are many types of both Greek cheese and Asian sword, but this makes sense for the reason pointed out by @ManyPinkHats.

Translucent dead, getting older

GHOST, AGEING (thanks @Teo).

Communication device, outdoor shelter

PHONE, something (e.g. could be SHED or HUT).

Heawy iron block, Neeson's name

ANWIL (thanks @Teo), LIAM.

Shining coating, exists forever

POLISH (thanks @DanielBaliki), DIAMOND?

Prime prime, standing infinity

TWO (first prime), EIGHT ($\infty$ on end)

Stack gone rong, carbon-based

OVERFLO, ORGANIC (thanks @Teo).

Let's put all that together (bold for ones I'm pretty sure about):

??? POTATO
FETA KENDO
GHOST AGEING
PHONE HUT
ANWIL LIAM
POLISH DIAMOND
TWO EIGHT
OVERFLO ORGANIC

Now look at what's popping out of the 5th and some other lines:

???, TAKEN, HOSTAGE, ???, WILLIAM, ???, WOE, FLOOR

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    $\begingroup$ Based on @Teo's answer, I see some other things that might be popping: ROT13(Vs gur frpbaq yvar vf SRGN XRAQB, gung pbagnvaf GNXRA. Vs gur guveq yvar vf TUBFG NTRVAT, gung pbagnvaf UBFGNTR. Obgu whzc bhg ng zr fvapr Yvnz Arrfba vf rkcyvpvgyl ersreraprq nyernql.) (EDIT: This actually works with the title, thematically, I think.) $\endgroup$
    – ManyPinkHats
    May 9, 2018 at 14:55
  • $\begingroup$ You're absolutely on the right track, please persevere (please...)! Also, as for the time I write this, 2 of your five "unsure" (not bold) words are correct. $\endgroup$
    – Keelhaul
    May 9, 2018 at 15:05
  • $\begingroup$ @Keelhaul Given the method, LIFE is clearly not correct, and PHONE and HUT can't both be correct. Thanks for the mini logical-deduction puzzle :-P $\endgroup$
    – Rand al'Thor
    May 9, 2018 at 15:07
  • $\begingroup$ ROT13: Vs gur ynfg jbeq jrer "betnavp", vg jbhyq fcryy "sybbe"... $\endgroup$
    – Teo
    May 9, 2018 at 15:15
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    $\begingroup$ I think the second to last line may be indicating that rot13(Ur vf gnxra ubfgntr ba gur gjragl rvtugu sybbe bs n ohvyqvat) $\endgroup$
    – Riley
    May 9, 2018 at 17:02
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It's not much, but I hope it helps:

Under Sahara, delicious tuber

Sahel (transition area, to the South of the Sahara), Potato => HELP

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Adding to Rand al'Thor's reasoning:

Asian sword way

A katana is a sword, not a sword way. I was thinking of BUSHIDO. Or KENDO, or IAIDO... there are lots of possibilities.

Getting older

Aging?

Heawy iron block

ANWIL!

Carbon-based

Could be organic?

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    $\begingroup$ Re heawy iron block - good one!! $\endgroup$
    – Rand al'Thor
    May 9, 2018 at 14:43
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    $\begingroup$ Which, when written before the other word in that row, forms... $\endgroup$
    – Teo
    May 9, 2018 at 14:47
  • $\begingroup$ Also, I've edited the first box. $\endgroup$
    – Teo
    May 9, 2018 at 14:51
  • $\begingroup$ Note that rot13(Xraqb vf yvgrenyyl "gur jnl bs gur fjbeq" va wncnarfr) $\endgroup$
    – Keelhaul
    May 9, 2018 at 15:11
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I'm not entirely sure for most of these, but here are my partial answers:

Under Sahara, delicious tuber

Water, ???

Greek cheese, asian sword way

Feta, Kendo

Translucent dead, getting older

Ghost, Aging

Communication device, outdoor shelter

Radio, Tent

Heawy iron block, Neeson's name

Anwil, Liam

Shining coating, exists forever

Polish, Eternal

Prime prime, standing infinity

Two, Eight

Stack gone rong, carbon-based

Hayire, Life

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  • $\begingroup$ Some mistakes, but you got 2 words @RandAl'Thor hasn't got ! $\endgroup$
    – Keelhaul
    May 9, 2018 at 15:07

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