Rebirth is thought of as a sort of spiritual renewal that happens during one’s lifetime, typically when converting to, or reaffirming faith in, a religion (e.g. Born-again Christians). My understanding is that this is mostly symbolic, and will often be followed by the traditional induction into the faith usually applied to babies or children, such as a baptism.
Reincarnation is the idea that the soul, after death, will transfer to a new being; either as a new person, or a different animal entirely.
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