Execute like supermarket purchases, for example (5,3)

I believe the answer is:

carry out

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'execute' is the definition.
(synonyms)

I can't explain the rest of the clue.

(Other definitions for carry out that I've seen before include "Takeaway (Sc. & US)" , "Effect, or bear from house" , "Make good" , "Remove - execute" , "Realise" .)

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

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