Liberal take on MP entertaining with mistress (4,5)

I believe the answer is:

kept woman

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'mistress' is the definition.
('kept woman' can be a synonym of 'mistress')

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

(Other definitions for kept woman that I've seen before include "Mistress" , "Maintained female" .)

I've seen this clue in The Guardian.

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