Argue into doing
Definition 1 of 1
Pro Tip 1/3Emotional Appeal
Involves emotional reasons more than logical ones, attempting to make someone feel a certain way. 
After the sad movie, she argued him into donating to the charity.
Pro Tip 2/3Causal Convincing
Typically used in casual or familiar relationships rather than formal ones. 
He argued her into taking a day off to relax.
Pro Tip 3/3Persistence
Often implies a certain degree of persistence in convincing someone over time. 
She finally argued him into adopting a healthier lifestyle.