Complete transport from end to end (5,7)

I believe the answer is:

carry through

'complete' is the definition.
('carry through' can be a synonym of 'complete')

'transport from end to end' is the wordplay.
'transport' becomes 'carry' ('carry' can be a synonym of 'transport'**).
'from end to end' becomes 'through' (I've seen this before).
'carry'+'through'='CARRY THROUGH'

I've seen this clue in The Telegraph.

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