Complex sentence: The NRA, based in the Luwero Triangle, fought the Ugandan army for the next five years, even after Obote was deposed in a 1985 coup d'état and the start of the peace talks.
Split into simpler sentences: The NRA, based in the Luwero Triangle, fought the Ugandan army for the next five years. It continued the war despite Obote's being deposed in a 1985 coup d'état and the start of peace talks.