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Ann, back from Vienna, has a French-style life (3)

Ross

I believe the answer is:

vie

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'ann back' is the definition.
Although both the answer and definition are verbs in their base form, I can't understand how one could define the other.

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

Can you help me to learn more?

(Other definitions for vie that I've seen before include "Try to do better than" , "I've got to compete" , "Jockey" , "I've got to contend" , "Contend, compete" .)

I've seen this clue in the Evening Standard.
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