Persuade them to talk more to make it last longer (7)

'persuade them to talk more' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'make it last longer' is the wordplay.
I cannot quite see how this works, but
'make' could be 'draw' (synonyms) and 'draw' is present in the answer.
'it' could be 't' (abbreviation. e.g. in 'tis) and 't' is found in the answer.
The remaining letters 'ou' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

'to' is the link.

Can you help me to learn more?