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All answers having "Kind of court" as clue:

3 Character Answers:

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LAW



4 Character Answers:

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CLAY

MOOT



5 Character Answers:

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PAPAL



7 Character Answers:

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APPEALS

PROBATE

SUPREME



8 Character Answers:

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KANGAROO



9 Character Answers:

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APPELLATE



11 Character Answers:

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SMALLCLAIMS