The two beliefs that are shared between Hinduism and Buddhism are:
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Enlightenment through meditation - Both religions emphasize the importance of meditation as a means to achieve spiritual insight and understanding.
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Cycle of reincarnation - Both Hinduism and Buddhism believe in the cycle of birth, death, and rebirth (samsara) and that individuals go through multiple lifetimes.
Karma is also a shared belief, but you asked for two specifically.