They want your vote. They want you to speak well of them to your friends, co-workers, and neighbors. As long as they think they have a chance of getting those things, they will continue to be willing to spend time discussing your issue with you. If, at any time, they believe they cannot get that from you, they will STOP being willing to talk to you any more. Maintain a cordial relationship with them.
Legislators hear complaints all the time.
People, members of the community, call them daily with complaints about everything from potholes to high tax bills, from highway speed limits to television violence. They get complaints about things over which they have no control, and about things they have done which have angered their constituents. It may be the only kind word they will hear in a week, and it will be remembered for that reason. It will make you seem more reasonable the next time you want to talk about an issue on which you disagree. You know more about your issue than your legislator does.