Parts of parish records on the radio (5)

I believe the answer is:

roles

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'parts' is the definition.
('role' can be a synonym of 'part')

I can't explain the remainder of the clue.

(Other definitions for roles that I've seen before include "Actors' parts" , "Theatrical parts" , "Dramatic parts" , "Parts in a play" , "Parts in plays" .)

I've seen this clue in the Irish Times.

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