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All answers having "Major" as clue:

3 Character Answers:

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BIG

DAD

DUR

KEY

RHO



4 Character Answers:

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AREA

DOMO

EPIC

RANK

TORY

URSA



5 Character Answers:

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CANIS

DOMOS

LARGE



6 Character Answers:

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ARTERY



7 Character Answers:

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BIGNAME

BIGTIME

GREATER

LEAGUES



8 Character Answers:

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ARTERIAL



9 Character Answers:

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RALPHHOUK