Crossword Genius

An expense to duck, perhaps? (4)

Ross

I believe the answer is:

bill

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'an expense' is the definition.
(I know that bill is a type of expense)

I can't explain the remainder of the clue.

Can you help me to learn more?

(Other definitions for bill that I've seen before include "Little William" , "Law proposal" , "one settles with in America?" , "announce" , "The point of anchor?" .)

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