In many accounts of galaxy mergers, the prompt merging of their central black holes, if any, is stated seemingly as too obvious to need further explanation.
While I don't dispute that this may indeed be the inevitable and prompt outcome, it doesn't seem self-evident, even if both black holes are near the centre of mass of their respective galaxies (and even if so, who is to say the centres of mass meet rather than in effect forming an orbit and the merged galaxy having a new resultant centre of mass?)
After all, from a distance a black hole is no different gravitationally from any other mass distribution and, even if they end up fairly close, gravitational waves seem too feeble to degrade their mutual orbit in any reasonable time unless they are extremely close (by cosmic standards - a few diameters apart say).