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All answers having "Desired" as clue:

4 Character Answers:

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EYED



5 Character Answers:

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HOPED



6 Character Answers:

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CRAVED

ITCHED

WANTED

WISHED

YENNED



7 Character Answers:

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POLEMIC

YEARNED



8 Character Answers:

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ENVIABLE

HOPEDFOR

THIRSTED