Possible Clues:

• Convince by argument
• Convince uppity businessman to take action about bill
• Prevail upon agent that's brought up kid, say
• Prevail on person only half influenced when listening
• Urge successfully
• Lobby for each woman to hold poster
• Cause (someone) to believe
• Move to act
• Use charm as prude corrupts sweetheart
• Convince (by argument)