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Galaxies located at the far edge of the observable universe are indeed subject to the effects of the ongoing expansion of the universe. As space expands, the distances between galaxies increase, and this expansion can have significant consequences for the observable universe.

Due to the finite speed of light, when we observe distant galaxies, we are seeing them as they were in the past because their light takes time to reach us. The farther away a galaxy is, the longer the light has been traveling, and hence, the older the information we receive.

As the universe expands, the expansion itself causes galaxies to recede from us at speeds proportional to their distance. This expansion affects the space between us and those galaxies, stretching it over time. If the expansion continues without any other factors coming into play, eventually, galaxies located beyond a certain threshold will move away from us faster than the speed of light. At that point, their light will no longer be able to reach us, and they will no longer be observable from Earth.

It is worth noting that this phenomenon is due to the expansion of the universe itself, rather than the motion of the galaxies within it. The expansion of space stretches the very fabric of the universe, causing the distances between galaxies to increase, rather than galaxies moving through space on their own.

However, it's important to keep in mind that the expansion of the universe is a complex process influenced by various factors, such as the distribution of matter and energy. The expansion rate of the universe has also changed over time. Therefore, predicting the fate of galaxies at the far edge of the observable universe and their eventual visibility from Earth requires a deep understanding of the underlying physics and ongoing research in cosmology.

In summary, galaxies located at the far edge of the observable universe may gradually become unobservable as the expansion of space continues to move them beyond the point where their light can reach Earth. However, the specifics of this process depend on various factors and require ongoing scientific investigation to fully comprehend.

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