The phrase "accept and acknowledge" is correct and commonly used in written English.
It can be used to show that someone is both recognizing and agreeing to something. Example: I accept and acknowledge your apology for what you said yesterday.
"People are afraid to accept and acknowledge other people's differences," Mr. Hovey said.
Closing her eyes, Ms. Rodriguez prayed with her "to accept and acknowledge God, to trust the Lord to make you better".
If you know your area of vulnerability, you might accept and acknowledge it, but some of us might find our weakness intolerable and try to avoid it.
This absence of peace is attributable to the continuing inability of the Arab world to accept and acknowledge an independent state of Israel in the Middle East.
"He fought for our freedom … let us all accept and acknowledge his immense contribution to our nation," the new president said to muted applause.
Regrettably, it seems that this latest uproar, just like the unrest last autumn regarding the Temple Mount, is yet another example of the general Palestinian unwillingness to accept and acknowledge the deep-seated historical roots of the Jewish people in the region.
The project management in B&H is not accepted and acknowledged widely within this industry, primarily due to the current legal regulations.
But doing that might require accepting — and acknowledging aloud — that its anchors are not going to be as popular as the Sean Hannitys of the world.
Tyson agreed to resolve the charges with a deferred prosecution agreement in which it "admits, accepts and acknowledges" the government's statement of facts, and paid a $4 million criminal penalty.
That this ordinance shall take effect and be in force after the same has been published as approved by law, and after the terms and conditions thereof shall have been accepted and acknowledged as herein provided.
And we're now to the point where stonewalling, obfuscating, spinning, parsing, and generally preventing the flow of truthful information are accepted and acknowledged parts of the job description (standard disclaimer about these things also being endemic to politics itself notwithstanding).
