[Решено] Translation issue

Background of the issue:
I am trying to translate a page using WPML. The issue can be seen on this page: скрытая ссылка. I expected to see the already translated text in the ATE. This homepage was already 100% translated, but now translations are disappeared from the ATE, but still visible on the frontend. Also all of our already translated texts appears with orange color "flag" (not saved).

Symptoms:
The translated text is not appearing in the ATE as expected. All of our already translated texts appears with orange color "flag" (not saved)

Questions:
Why is the already(!) translated text not appearing in the ATE when the translated text is visible on the frontend?
How can I ensure the translated text is visible in the ATE?