The two beliefs that are shared between Hinduism and Buddhism are:
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Cycle of reincarnation - Both religions believe in the concept of samsara, which is the cycle of birth, death, and rebirth.
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Karma - Both Hinduism and Buddhism incorporate the idea of karma, or the moral law of cause and effect, which affects an individual's future reincarnations based on their actions in past lives.
Therefore, the correct choices are "cycle of reincarnation" and "karma."