Supervise extra hunt, kilo missing (7)

I believe the answer is:

oversee

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'supervise' is the definition.
('oversee' can be a synonym of 'supervise')

I can't explain the rest of the clue.

(Other definitions for oversee that I've seen before include "Direct" , "Supervise, control" , "take charge" , "risk eyestrain?" , "Administer" .)

I've seen this clue in The Telegraph.

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