A long-handled brush, I hear, for a former horse-drawn vehicle (8)

I believe the answer is:

brougham

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'vehicle' is the definition.
(brougham is a kind of vehicle)

I don't understand how the rest of the clue works.

(Other definitions for brougham that I've seen before include "Four-wheeled horse-drawn carriage" , "Old carriage" , "Horse-drawn 19 down" .)

I've seen this clue in the Sydney Morning Herald.

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