Crossword Genius

Poorly run in smog, very deficient in recovery (9)

Ross

I believe the answer is:

misgovern

I'm a little stuck... Click here to teach me more about this clue!

'smog very deficient in recovery' is the definition.
I can't judge whether this definition defines the answer.

'poorly run' is the wordplay.
'poorly' becomes 'mis' (I can't justify this - if you can you should give a lot more credence to this answer).
'run' becomes 'govern' (both can mean to rule over).
'mis'+'govern'='MISGOVERN'

'in' is the link.

Can you help me to learn more?

(Other definitions for misgovern that I've seen before include "Rule badly" , "rule unfairly" , "run badly" .)

I've seen this clue in the Sydney Morning Herald.
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