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All answers having "Horse-drawn vehicle" as clue:

3 Character Answers:

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RHO



4 Character Answers:

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CART

DRAY

SHAY

TRAP



5 Character Answers:

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TONGA

WAGON



6 Character Answers:

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CALASH

HANSOM

LANDAU

TROIKA



7 Character Answers:

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CARIOLE

CHARIOT

DOGCART

PHAETON