This is the 4653rd most frequent Russian word.
доказывают
"Dokazyvayut" means "they prove" or "are proving."
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.
Маленькие поступки людей ежедневно доказывают силу доброты.
Small acts of people daily show the power of kindness.
Here 'доказывают' conveys the idea of logically demonstrating or confirming a conclusion based on presented evidence or arguments.