This is the 14060th most frequent Russian word.
одобрят
"Одобрят" means "they will approve."
Here, 'одобрят' conveys the expectation of positive reception or agreement toward an idea or proposal.
Когда они узнают о нашем предложении, я уверен, что они его одобрят.
When they learn about our proposal, I'm sure they'll approve it.
Here, 'одобрят' means 'will approve' in the context of giving official consent or agreement.
Я надеюсь, что они одобрят наш проект.
I hope that they will approve our project.
In this sentence, 'одобрят' refers to the official process of accepting a submission after reviewing it.