AA 3232 then QR 8188 at Houston
Phoenix → Houston → Liege
Timetable, Houston time
23:54AA 3232 from Phoenix at the gate
21:20QR 8188 to Liege leaves the gate
21 h 26 apart on the timetable, overnight
QR 8188 leaves 21 h 26 after AA 3232 arrives on the timetable: more than half a day, so not a connection we count.