Google announced the June 2021 core update on 2nd Jun 2021. Danny Sullivan wrote: "Later today, we are releasing a broad core update, as we do several times per year. It is called the June 2021 Core Update."
Google put its usual one-to-two-week estimate on the rollout. It later confirmed it was complete as of 12th Jun 2021, roughly 10 days after it began.
What made it unusual was the pairing.
Google said some of its planned improvements were not ready in June. So it shipped the parts that were and followed with the rest as the July 2021 core update.
It cautioned that "it's possible a very small slice of content might see changes in June that reverse in July." Search Engine Land's launch coverage carries the full announcement.
As a broad core update there was nothing specific to fix and no penalty to lift. Google's standing advice applies.
Audit the pages that lost rankings against the self-assessment questions in its core updates help pages. Then improve overall helpfulness.
Some movement between core updates is possible. But the most significant recovery typically shows up at a later core update.
Our recovery guide covers the sequence.