This is the 15811th most frequent Russian word.
продолжатся
"To continue" or "to last."
Here, 'продолжатся' is used to indicate that the activities (lessons) will resume or carry on at a later point, expressing continuity in a practical way.
Занятия продолжатся завтра.
Lessons will continue tomorrow.
In this context, 'продолжатся' refers to the resumption of discussions that have been paused, emphasizing the temporal continuation.
Разговоры о проекте продолжатся после обеда.
Discussions about the project will continue after lunch.
The usage of 'продолжатся' in this sentence relates to an ongoing natural phenomenon expressing potential persistence over time.