The phrase "agree and acknowledge" is correct and usable in written English.
It is typically used in formal contexts, such as contracts or agreements, to indicate that a party accepts and recognizes certain terms or conditions.
Example: "By signing this document, you agree and acknowledge the terms outlined herein."
Alternatives: "consent and recognize" or "accept and confirm".
The wider world will agree and acknowledge that the IOC means business and the IOC is accountable and transparent".
MIT makes no representation regarding your ability to transmit and receive information from or through the Sites and you agree and acknowledge that your ability to access the Sites may be impaired.
Stanford makes no representation regarding your ability to transmit and receive information from or through the Websites and you agree and acknowledge that your ability to access the Websites may be impaired.
Duke makes no representation regarding your ability to transmit and receive information from or through the Websites and you agree and acknowledge that your ability to access the Websites may be impaired.
If you agree to the conditions (which you must do in order to gain access to the site), check the box marked "I agree and acknowledge the terms of NSOPW".
By accepting a prize, winner agrees and acknowledges that Sponsor may use winner's name, voice, biographical data, likeness and city name in any and all media throughout the universe and in perpetuity for promotional purposes without additional compensation, except where prohibited by law.
She fully agreed, and acknowledged while a night like this may not matter to some, or may seem frivolous to others, we were very, very lucky to be with each other, at this time, enjoying this moment.
Member validation occurred in that an overview of the findings was emailed to all participants in March 2013, who agreed and acknowledged a high level of relevance in the reported findings.
If you were to publish code from a hackathon where you worked with other people, then you would make sure all the authors agree and are appropriately acknowledged.
As a player in Darius' history, I myself would agree, and have publicly acknowledged, that Darius' publicity has been just as equal an adversary to Darius getting his life on track (no pun intended) than his Asperger's.
Chinnan had agreed with and acknowledged that Galindo had not wanted him to be "disqualified on a technicality".
