The other answers are correct but seem to miss one fundamental fact, which is that the speed of light is only a speed limit for *objects* moving within space. Space *itself* is free to expand much faster than the speed of light.
Imagine matter in space as beads on a bungee cord. The beads can only move along the cord at the speed of light, but the bungee cord can stretch as fast as it wants. The space between the beads will expand without the beads themselves actually moving in space.
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