Bhagavatgita a detailed studychapter8- Imperishable Brahman

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Please read the last para of sk loka 15 as

Those who have attained the highest state described in the previous sloka 13, never revert back into rebirth. The rebirth is mentioned as the abode of sorrow dhuhkhaalayam, and impermanent, aSaasvatham, Everyone dislikes death but never seems to understand that as long as there is birth the death is certain. Not only that, but also the birth brings in its wake all the sorrows of samsara. It is impermanent, because it ends with death only to start again. So to end the ills of samsara and death is to end the rebirth punarjanma. The only way to do this is to attain the Lord. Hence Krishna says maamupethya punarjanma na aapnuvanthi., those who attain Me do not have re birth.