in the end, especially after a long time or a lot of effort, problems, etc.

Although she had been ill for a long time, it still came as a shock when she eventually died. 虽然她已病了好长时间，但当她最终去世时，我们仍然感到非常震惊。

It might take him ages but he'll do it eventually. 这或许会花去他很长时间，但最终他会成功的。