The splash page of Bleach's upcoming chapter contains countdown text revealing the manga will soon end. It will be serialized in this year's 31st issue of Weekly Shounen Jump, to be released on July 4. The number of remaining chapters is unclear, as the final date is purposefully obscured by a black ink marking.
Bleach entered its final arc in September 2013, 12 years after it began serialization.
Source: Otakomu
Update July 3
It was announced via volume 73 that volume 74, to be released this Fall, will be the final volume.
Source: Otakomu
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