Lots in trouble often have it removed (6)

I believe the answer is:

tonsil

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'often have it removed' is the definition.
I can't tell whether this definition defines the answer.

'lots in trouble' is the wordplay.
'trouble' is an anagram indicator.
'lots'+'in'='lotsin'
'lotsin' anagrammed gives 'TONSIL'.

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(Other definitions for tonsil that I've seen before include "One of a pair in the throat" , "organ" , "One of two pieces of tissue in the throat" , "One often removed" , "No slit at the base of the tongue" .)

I've seen this clue in The Mirror.

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