Based on the Novikov self-consistency principle, the stories have “fixed” timelines with no possibility of paradoxes. Present actions affect the future AND the past, which must also affect the present. Everything being done is caused by everything being done. It is as if the time traveler is a “gear” or "cog" of a bigger “machine.” Some ways to make this plot work is to make the future events questionable as to whether they would have happened with or without the time travel.
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