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All answers having "Broadway name." as clue:

3 Character Answers:

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FLO



4 Character Answers:

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COCO

INGE

KERR

LOWE

LUNT

RAYE



5 Character Answers:

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ALBEE

COHAN

LOGAN

ODETS



6 Character Answers:

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WILDER



15 Character Answers:

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BARBRASTREISAND