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The wax is a body waste which is supposed to come out. If it persists in the ear and is repeatedly pushed inside then there is a possibility of wax getting accumulated. This accumulation can lead to ear blocking, infection or pressure on the ear membrane. This may present with pain in the ear, itching, tinnitus and difficulty in hearing. Ideally the wax should be allowed to come out and if not an ENT specialist can help in getting it removed.
Hope this helps,
Wish you a good health
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