The phrase "acknowledged that while the" is correct and usable in written English.
It can be used when introducing a statement that recognizes a condition or situation, often in a formal or academic context.
Example: "The committee acknowledged that while the project had potential, it required further funding to succeed."
Alternatives: "recognized that although the" or "admitted that even though the".
But many climate sleuths acknowledged that while the broad climate trends were clear, much remained uncertain.
Mr. Obama acknowledged that while the rate of infection has declined elsewhere, in the United States it has remained steady.
Mr. Woodside acknowledged that while the Moto X will be built in the United States, not all of its parts would necessarily come from American manufacturers.
Mr. Obama acknowledged that while the rate of infection has declined elsewhere, in the United States it has remained steady, disproportionately hitting the young, African-Americans and Hispanics.
Mr. Bloomberg acknowledged that while the city's shelters have room for 71,000 people, there would not be the same number of beds.
But Cameron acknowledged that, while the EU budget as a whole would be reduced, Britain's own contributions to the EU would increase.
He is also right in acknowledging that while the archaic overnight ratings system is no longer fit for purpose, it's still the only one anybody hears about.
The council issued a statement acknowledging that while the vast majority of the abuses alleged in the report were committed by the Qaddafi regime, there were "a small number of incidents" committed by its opponents.
The creators have tried to satisfy fans of the original and newcomers by acknowledging that while the same elements had to be there — the loves, worries and intrigues of two sets of people in one grand household in the center of London — the way the program looks and feels had to reflect modern sensibilities.
In the next two volumes Chavez approves of the mixture of comedy and romance and the way the characters "grow up", although acknowledging that while the manga's style suits his personal preferences it will not be to everyone's taste.
I am thrilled and relieved to see articles on the Huffington Post where some Muslims are standing up and acknowledging that while the Koran has peaceful and beautiful messages, it also has violent quotes and should not be treated as an unerring sacred text that needs to be slavishly followed.
