AA 6059 then AA 2688 at Charlotte
Moline → Charlotte → Raleigh-Durham
Timetable, Charlotte time
11:26AA 6059 from Moline at the gate
11:00AA 2688 to Raleigh-Durham leaves the gate
23 h 34 apart on the timetable, overnight
AA 2688 leaves 23 h 34 after AA 6059 arrives on the timetable: more than half a day, so not a connection we count.