This is the 4653rd most frequent Russian word.
доказывают
"Dokazyvayut" means "they prove" or "are proving."
Here 'доказывают' conveys the idea of logically demonstrating or confirming a conclusion based on presented evidence or arguments.
Аргументы в этой статье доказывают, что экологические проблемы становятся всё более актуальными.
The arguments in this article prove that environmental issues are becoming increasingly relevant.
In this sentence, 'доказывают' means to provide evidence or testimony to establish a claim or assertion.
На суде свидетели доказывают свою невиновность.
In court, witnesses prove their innocence.
Here 'доказывают' is used metaphorically to signify demonstrating or exemplifying a quality or idea through actions.