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Irrational and sick, putting soldier in coal production (9)

Ross

I believe the answer is:

illogical

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'irrational' is the definition.
(associated in meaning)

'sick putting soldier in coal production' is the wordplay.
'sick' becomes 'ill' (synonyms).
'putting soldier' becomes 'gi' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'in' is an insertion indicator.
'production' indicates anagramming the letters.
'coal' is an anagram of 'ocal'.
'gi' going into 'ocal' is 'ogical'.
'ill'+'ogical'='ILLOGICAL'

'and' acts as a link.

Can you help me to learn more?

(Other definitions for illogical that I've seen before include "not following" , "silly" , "Unsound" , "Having no base" , "Without reason" .)

I've seen this clue in The Daily Express.
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