DL 1235 then DL 2398 at Atlanta
Lexington → Atlanta → New York JFK
Timetable, Atlanta time
21:36DL 1235 from Lexington at the gate
15:16DL 2398 to New York JFK leaves the gate
17 h 40 apart on the timetable, overnight
DL 2398 leaves 17 h 40 after DL 1235 arrives on the timetable: more than half a day, so not a connection we count.