Execute the order to remove? (5,3)

I believe the answer is:

carry out

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'execute' is the definition.
(synonyms)

I cannot understand how the remainder of the clue works.

(Other definitions for carry out that I've seen before include "Take away" , "Remove - execute" , "one can't stay for this meal" , "Takeaway (Sc. & US)" , "Effect, or bear from house" .)

I've seen this clue in the Evening Standard.

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