Daughters interrupted by expression of hesitation I have produced (7)

I believe the answer is:

derived

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'produced' is the definition.
Although both the answer and definition are past participle verbs, I don't understand how they can define each other.

'daughters interrupted by expression of hesitation i have' is the wordplay.
'daughters' becomes 'dd' (a genealogical abbreviation for daughter repeated).
'interrupted by' is an insertion indicator.
'expression of hesitation' becomes 'er'.
'i have' becomes 'I've' (contraction of 'I have').
'er'+'ive'='erive'
'dd' placed around 'erive' is 'DERIVED'.

Can you help me to learn more?

(Other definitions for derived that I've seen before include "Traced the source" , "Procured" , "Obtained/drawn (from)" , "Formed or developed from something else" , "Inferred" .)

I've seen this clue in The Guardian.

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