Footwear improving debtor's toes (6,5)

I believe the answer is:

desert boots

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'footwear improving debtor's toes' is the definition.
I can't tell whether this defines the answer.

'improving debtor's toes' is the wordplay.
'improving' is an anagram indicator (letters must be sorted out or rectified).
'debtors'+'toes'='debtorstoes'
'debtorstoes' with letters rearranged gives 'DESERT BOOTS'.

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I've seen this clue in The Mirror.

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