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Sometimes it's difficult for outsiders to understand what brings a couple together.

What brings each of these couples together?

ENTER    INPUT

ROTOR    MOVES

TIGER    STATS

TARGET   DENIER

LITER    SAVER

CIGAR    STAMP

STOPS    RECAP

DETER    CIDER

NORSE    SITED

SENILE   MARTS

STUNS    AORTA

TURBO    EVICTS

CIRCLE   TENON

SNIPS    RETCH

FACTS    TREAT

ABETS    STOMA
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If you take the two words,

reverse them, and then interleave them in some way, you can form a new word.

ENTER    input     tuRpEnTiNE
ROTOR    moves     seRvomOTOR
TIGER    stats     stRatEGIsT
TARGET   denier    reinTEGRATed
LITER    saver     RETrIevaLs
CIGAR    stamp     pRAGmatICs
STOPS    recap     SpacePOrTS
DETER    cider     rediREcTED
NORSE    sited     dESeRtiONs
SENILE   marts     strEamLINES
STUNS    aorta     aStroNaUTS
TURBO    evicts    OBstRUcTive
CIRCLE   tenon     nonELeCtRIC
SNIPS    retch     SPhINcterS 
FACTS    treat     StaTeCrAFt
ABETS    stoma     STEamBoAts

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