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All answers having "Investigator" as clue:

3 Character Answers:

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TEC



4 Character Answers:

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TAIL

TMAN



5 Character Answers:

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AGENT



6 Character Answers:

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DELVER

PROBER

SEEKER

SLEUTH



8 Character Answers:

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SEARCHER



9 Character Answers:

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DETECTIVE



10 Character Answers:

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FACTFINDER

PRIVATEEYE

RESEARCHER