Which politicians enjoy their veggies? (6)

I believe the answer is:

greens

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'veggies?' is the definition.
(green is a kind of veggie)

I cannot understand how the remainder of the clue works.

(Other definitions for greens that I've seen before include "Putting areas" , "Nature lovers" , "Vegetables - on the golf course?" , "Signs people should go" , "Leaves" .)

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

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