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All answers having "Puts in order" as clue:

3 Character Answers:

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RHO



4 Character Answers:

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SETS



5 Character Answers:

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RANKS

SORTS



6 Character Answers:

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ALIGNS

CLEANS

TIDIES



7 Character Answers:

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ASSORTS

NEATENS

SETTLES



8 Character Answers:

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ARRANGES