Better in the fresh air, or hiding (5)

I believe the answer is:

outdo

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'better' is the definition.
(to outdo is to beat or do better than)

I can't explain the remainder of the clue.

(Other definitions for outdo that I've seen before include "Overcome" , "going to top?" , "Perform better than surpass" , "Perform better than (someone)" , "Surpass someone at something" .)

I've seen this clue in The Times.

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