LA 2981 then JA 7027 at Lima
Cartagena → Lima → Cusco
Timetable, Lima time
06:30LA 2981 from Cartagena at the gate
19:25JA 7027 to Cusco leaves the gate
12 h 55 apart on the timetable
JA 7027 leaves 12 h 55 after LA 2981 arrives on the timetable: more than half a day, so not a connection we count.