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All answers having "Promotes" as clue:

3 Character Answers:

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UPS



5 Character Answers:

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ABETS

HELPS

PLUGS

SELLS

TOUTS



6 Character Answers:

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BOOSTS

SPEEDS



7 Character Answers:

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FOSTERS

TALKSUP



8 Character Answers:

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ELEVATES

FURTHERS

STRESSES