You claim that everything in this world is repetitive and therefore it is illogical to think tht the soul can have a beginning but no end.

Well since this is an astronomy forum, we should invoke the latest findings in astronomy on the fate of the universe.

Accordingly it is now thought that the universe began with the Big Bang, but will expand forever at an increasing expansion rate due to Dark Energy. The rate of expansion is now accelerating, as measured by astronomers; and the first light of the Big Bang has been measured.

There are some cosmologies that claim that the present expansion will turn into a contraction due to higher dimensional effects as in M-theory.

And there are some theories that predict that other universes preceeded the Big Bang. These are both repetitive in nature. But for the moment, there are no measurements to back them up.

So if the universe basically is born and then lives forever. Then it is likely that it also happens to the soul.