AA 5578 then AA 1738 at Philadelphia
Cincinnati → Philadelphia → Providenciales
Timetable, Philadelphia time
09:50AA 5578 from Cincinnati at the gate
08:50AA 1738 to Providenciales leaves the gate
23 h apart on the timetable, overnight
AA 1738 leaves 23 h after AA 5578 arrives on the timetable: more than half a day, so not a connection we count.