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Speed up the process around record welcomed by one of The Doors, leading DJ and One Direction (8)

Ross

I believe the answer is:

expedite

I'm a little stuck... Click here to teach me more about this clue!

'speed up' is the definition.
(I've seen this before)

'the process around record welcomed by one of the doors leading dj and one direction' is the wordplay.
I cannot quite see how this works, but
'by' could be 'x' (multiplication sign) and 'x' is present in the answer.
'record' could be 'ep' and 'ep' is located in the leftover letters.
'one' could be 'i' (Roman numeral) and 'i' is present in the answer.
'direction' could be 'e' (E is an example) and 'e' is found in the answer.
This may be the basis of clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for expedite that I've seen before include "Cause (something) to happen earlier" , "Hasten progress" , "Hasten (process)" , "Hurry" , "Hasten (something)" .)

I've seen this clue in the Irish Times.
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