Hollywood producers boxing with politicians (9)

I believe the answer is:

lawmakers

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'politicians' is the definition.
The answer and definition can be both people as well as being plural nouns.
Perhaps they are linked in a way I don't understand?

'hollywood producers boxing with' is the wordplay.
'hollywood' becomes 'LA' (Hollywood is a neighbourhood of Los Angeles).
'producers' becomes 'makers' (I've seen this in another clue).
'boxing' indicates putting letters inside ('box' can mean contain, as in to put in a box).
'with' becomes 'w' (abbreviation).
'la'+'makers'='lamakers'
'lamakers' going around 'w' is 'LAWMAKERS'.

Can you help me to learn more?

I've seen this clue in The Independent.

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