The phrase "acknowledge how much they" is correct and usable in written English.
It can be used when discussing the recognition or appreciation of someone's efforts, feelings, or contributions.
Example: "It's important to acknowledge how much they have sacrificed for the success of the project."
Alternatives: "recognize the extent to which they" or "appreciate how much they".
Some Democrats who voted for the law, particularly those up for reëlection, seem unable to acknowledge how much they still support it.
Combat commanders acknowledge how much they rely on the analysis and lessons-learned manuals sent from headquarters back in the United States.
In his new autobiography, "I Dreamed I Was a Very Clean Tramp," Hell admits to resenting the Sex Pistols for failing to acknowledge how much they lifted from him.
I now frequently invite our churches and pastors to imagine leaders of all faith traditions in tens of thousands of houses of worship across God's good earth inviting the people in their congregation to allow themselves to acknowledge how much they love the earth.
Hell "resented the way they failed to acknowledge how much they'd gotten from New York and me.
At one moment, a person can acknowledge how much they would like to have a diverse mix of employees.
They say they have sought to release information about confirmed anthrax cases as quickly as possible, even when that means acknowledging how much they still do not know.
Nor do they acknowledge how much risk those same politicians have already taken on (with the first stimulus, the health care bill, and much else besides) in the name of theoretical propositions, while reaping little for their efforts save an ever-grimmer fiscal picture.
To me there's a real negation of that history, which is interesting, because that history is still there, and they refuse to acknowledge how much it has done personally, collectively, to their lives.
But he also thinks the Trust is unwilling to acknowledge how much upland farming has already changed.
