Crossword Genius

One clears the air with former agriculturalist? (9,3)

Ross

I believe the answer is:

extractor fan

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

'agriculturalist?' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'one clears the air with former' is the wordplay.
I cannot quite see how this works, but
'one' could be 'an' (an apple is one apple) and 'an' is present in the answer.
'the' could be 't' (the is pronounced as a 't' sound in some dialects) and 't' is present in the answer.
'former' could be 'ex' (prefix meaning former or onetime) and 'ex' is found in the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for extractor fan that I've seen before include "Device to remove stale air or fumes" , "Kitchen odour remover" .)

I've seen this clue in The Independent.
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