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All answers having "Nearby" as clue:

3 Character Answers:

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ATH



4 Character Answers:

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NIGH



5 Character Answers:

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ABOUT

ASIDE

CLOSE

HANDY

LOCAL



6 Character Answers:

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AROUND

ATHAND

NOTFAR

ONHAND



7 Character Answers:

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CLOSETO

INCLOSE

INREACH

LOCALLY



9 Character Answers:

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INTHEAREA



10 Character Answers:

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NEXTDOORTO



11 Character Answers:

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ATCLOSEHAND

ATONESELBOW

CLOSEATHAND

CLOSETOHOME



13 Character Answers:

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AROUNDTHEBEND

INTHEVICINITY



15 Character Answers:

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AROUNDTHECORNER

JUSTDOWNTHEROAD