Coach remaining in location for actors (5,4)

I believe the answer is:

stage left

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'location for actors' is the definition.
I can't tell whether this definition defines the answer.

'coach remaining' is the wordplay.
'coach' becomes 'stage' (stagecoach).
'remaining' becomes 'left' (synonyms).
'stage'+'left'='STAGE LEFT'

'in' acts as a link.

Can you help me to learn more?

(Other definitions for stage left that I've seen before include "on the prompt side" , "One side of a theatre" , "right to the house" , "actors direction" , "Coach once departed" .)

I've seen this clue in The Times.

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