Crossword Genius

Deny rat problem, having left with passion (8)

Ross

I believe the answer is:

ardently

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'with passion' is the definition.
(I've seen this before)

I cannot understand how the remainder of the clue works.

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(Other definitions for ardently that I've seen before include "In a very passionate way" , "Passionately" , "with zeal" , "full of enthusiasm?" , "With passion" .)

I've seen this clue in The Daily Express.
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