Use 'on and on' to express something that's been happening for a very long time and feels too lengthy. The meeting went on and on, making everyone tired.
Pro Tip 2/3
Negative Nuance
'On and on' often implies that the speaker finds the ongoing action annoying or tiring. She complained on and on about her job.
Pro Tip 3/3
Uninterrupted Flow
Emphasizes the lack of interruption or pauses in the action, as if it flows continuously. The river flows on and on through the valley.