Cleared Notifications Show Up Again Later?

This is a near daily occurrence for me. I manually clear notifications from the notification center (they don't clear automatically even when the notification is cleared from the app, but that seems to be how it's designed), and then later that day, or sometimes even the following day, several of those notifications show up in the pane again. I find myself seeing and clearing the same notifications from the pane at least twice, if not more often. I have tried restarting my phone, and it has not helped the situation. I can't imagine this is a setting, but how can I fix this?

Thank you!