AA 5585 then AA 3125 at Charlotte
Louisville → Charlotte → Madison
Timetable, Charlotte time
19:21AA 5585 from Louisville at the gate
16:15AA 3125 to Madison leaves the gate
20 h 54 apart on the timetable, overnight
AA 3125 leaves 20 h 54 after AA 5585 arrives on the timetable: more than half a day, so not a connection we count.