Are in debt but managed to bring up the children (6)

I believe the answer is:

reared

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'managed to bring up the children' is the definition.
I can't tell whether this defines the answer.

'are in debt' is the wordplay.
'in' indicates putting letters inside.
'debt' becomes 'red' ('in the red' means 'in debt').
'are' put within 'red' is 'REARED'.

'but' acts as a link.

Can you help me to learn more?

(Other definitions for reared that I've seen before include "Raised" , "Fostered, brought up" , "Provided and cared for during childhood" , "Trained" , "Brought up, nurtured" .)

I've seen this clue in The Globe and Mail.

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