Galaxies cannot exceed the speed of light in a traditional sense due to relativistic effects that impose limits on their speeds. However, the expansion of the universe can cause galaxies to recede from each other at effective speeds greater than light, as described by Hubble's Law. This phenomenon is particularly evident in galaxies with high redshifts, which indicate they are receding faster than light. General relativity complicates the measurement of velocities at cosmological distances, making it valid to describe galaxies as either moving apart or remaining at rest while space expands. The discussion highlights the nuances of cosmic expansion and the interpretation of velocities in the context of general relativity.