Lawmen remove first two parasites (4)

I believe the answer is:

lice

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'parasites' is the definition.
(lice are parasitic insects)

I don't understand how the rest of the clue works.

(Other definitions for lice that I've seen before include "Bloodsucking parasitic insect" , "Bloodsucking insects" , "Parasitic insects" , "Crawlers" , "Wingless bloodsucking parasites" .)

I've seen this clue in The Mirror.

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