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Law enforcers slim down policy (4,4,4)

Ross

I believe the answer is:

thin blue line

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'law enforcers' is the definition.
I don't know anything about this answer so I can't tell whether this works.

'slim down policy' is the wordplay.
'slim' becomes 'thin' (synonyms).
'down' becomes 'blue' (both can mean sad).
'policy' becomes 'line' (the party line is a party's policy on something).
'thin'+'blue'+'line'='THIN BLUE LINE'

Can you help me to learn more?

(Other definitions for thin blue line that I've seen before include "police maintaining order?" , "Police holding back a riot?" .)

I've seen this clue in The Guardian.
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