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All answers having "Lug" as clue:

3 Character Answers:

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APE

EAR

NUT

OAF

TOW



4 Character Answers:

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CART

DRAG

HAUL

LOUT

TOTE



5 Character Answers:

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CARRY

SHLEP



6 Character Answers:

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BIGAPE

GALOOT

SCHLEP



7 Character Answers:

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SCHLEPP