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I am light but strong,
Sometimes I am long
I can write but cant read
To humans I don't belong
Flight is guaranteed

I will help you sleep
Even more deep
Or in your hat
I might not be cheap
You could find me in a cat

What am I?

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The answer is

a feather.

I am light but strong,

Feathers are lightweight, but sturdy enough to support the weight of large flying birds.

Sometimes I am long

Some feathers (e.g., the tail feathers of peacocks, parrots and parakeets) are quite long.

I can write but can't read

Feathers can be made into quill pens, which are writing implements, but they have no ability to read.

To humans I don't belong

Feathers belong to birds, not to humans.

Flight is guaranteed

Presumably this refers to the fact that feathers contribute to birds' ability to fly, but "guaranteed" seems inappropriate, since some birds (that have feathers) cannot fly.

I will help you sleep
Even more deep

Feathers are used in pillows.

Or in your hat

Feathers are used as decorations in hats.

I might not be cheap

Some feathers (especially long ones; see above) may be expensive.

You could find me in a cat

Cats eat birds.  While I imagine that they try to avoid eating the feathers, they probably cannot avoid doing so occasionally.

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  • $\begingroup$ Correct, well done $\endgroup$ – Beastly Gerbil May 8 '16 at 14:57
  • $\begingroup$ My guess of helium was alright, but your fits better with the hat clue. $\endgroup$ – Oreo May 8 '16 at 14:58
  • $\begingroup$ I wouldn't doubt that someone with the username @PeregrineRook could solve this one. $\endgroup$ – paste May 8 '16 at 15:28
  • $\begingroup$ Yeah; it occurred to me that, if I had missed this, I would have had to give up my name.    :-)    ⁠ $\endgroup$ – Peregrine Rook May 9 '16 at 5:48
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I think you are:

Helium

I am light but strong

Helium is lighter than air, and in large quantities can be strong enough to lift heavy objects

Sometimes I am long

Helium is used in balloons, twisting balloons can be long and thin

I can write but cant read

Twisting balloons can create letters?

To humans I don't belong

Helium has been around around forever, so it doesn't belong to us

Flight is guarenteed

Helium Balloons can float

I will help you sleep, Even more deep

Helium has been used in anaesthesia, which is a deeper form of sleep

Or in your hat

Helium is in the air, so it could be in your hat

I might not be cheap

Helium has been being used a lot and we could have a shortage, so the value is always rising

You could find me in a cat

Air contains a small amount of helium, so it can be within the cat's lungs

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  • $\begingroup$ I opened about 5 tabs to research the uses of helium. It was worth it though. $\endgroup$ – Oreo May 8 '16 at 14:51
  • $\begingroup$ Nice idea, but incorrect $\endgroup$ – Beastly Gerbil May 8 '16 at 14:57
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Some other interesting one that would also work:

Aluminium

I am light but strong,

Aluminium is indeed light and strong

Sometimes I am long

you can make long things with it (wires, poles, &c)

I can write but cant read

You can make pens with aluminium

To humans I don't belong

It is something that will poison humans, so why would it be in humans?

Flight is guarenteed

Before composites, many airplanes were made with aluminium.

I will help you sleep Even more deep

Same with the humans part. You could die from aluminium poisoning.

Or in your hat

Helmets

I might not be cheap

With alloys, it could be expensive.

You could find me in a cat

If the cat was being stupid.

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