UK record label's coverage in Canada (7,8)

I believe the answer is:

british columbia

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

'coverage in canada' is the definition.
(British Columbia is a province of Canada)

'uk record label's' is the wordplay.
'uk' becomes 'british' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'record label' becomes 'columbia' (Columbia Records).
'british'+'columbia'='BRITISH COLUMBIA'

Can you help me to learn more?

(Another definition for british columbia that I've seen is " Canadian province".)

I've seen this clue in The Independent.

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