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All answers having "Extract" as clue:

4 Character Answers:

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DRAW

MINE

PULL

YANK



5 Character Answers:

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EDUCE

EDUCT

ELUTE

PRISE

STORY

WREST



6 Character Answers:

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DEADLY

ELICIT

REMOVE



7 Character Answers:

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EXCERPT

TAKEOUT



9 Character Answers:

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FLAVORING

SINGLEOUT