Old hit carols I broadcast (10)

I believe the answer is:

historical

'old' is the definition.

'hit carols i broadcast' is the wordplay.
'broadcast' indicates anagramming the letters.
'hit'+'carols'+'i'='hitcarolsi'
'hitcarolsi' anagrammed gives 'HISTORICAL'.

(Other definitions for historical that I've seen before include "Relating to a past era" , "Based on records" , "Dealing with past" , "Authentic" .)

I've seen this clue in The Telegraph.

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