[swid]

We don’t necessarily see more light as the universe ages, nor do we see farther away. The universe is expanding, and the farther something is, the faster it is moving away from us. It can even be moving faster than the speed of light relative to us, because the space between us is growing, and more empty space between us, the more this extra stacks up. When this happens, something is beyond the visible universe - that light can never reach us.

So there are two ways we cannot see something - if the universe is not old enough for light to reach us yet, or if there is too much new universe being created in between us and the light for the light to catch up to us.

In a far enough future, there will be no other galaxies in the sky as all the matter will be too far away for light to reach us.