The phrase "acknowledged that during" is correct and usable in written English.
It can be used when referring to a recognition or admission of something that occurred within a specific timeframe or context.
Example: "The committee acknowledged that during the last meeting, several important issues were raised."
Alternatives: "recognized that throughout" or "admitted that in the course of".
But the Keen report also acknowledged that during cross examination, the attorneys for Prop.
Timbers acknowledged that, during his dating years, they were an interesting talking point.
However, he acknowledged that during the night he did "speak frequently with Governor George Bush and Governor Jeb Bush".
However, it is well acknowledged that, during a common design process, it is often possible to find requirements conflicting with each other.
He acknowledged that during that month there were no limits on the size of the pods that fishermen could drive into the bay.
Doctors have acknowledged that during a Feb. 7 operation they gave Ms. Santillán a heart-lung transplant with organs of the wrong blood type.
In his testimony, Mr. Jereis detailed his extended courtship of Ms. Annabi, acknowledging that during that period, he had a wife and two children.
Receptions for the album was positive, with Choi Jun of Asiae complimenting the group's new direction in their music, acknowledging that during the two years hiatus, the group's "style and musical sensibility [had] deepened".
In their series, Vercellini et al. (1989) identified the presence of endometriosis in almost 40% of their young patients, acknowledging that during their trial diagnostic criteria were modified to include atypical lesions.
The Romney campaign chief, Matt Rhoades, acknowledged that point during a forum here at the Harvard University Institute of Politics, where advisers to all candidates in the 2012 campaign gathered to discuss the race.
More difficult was acknowledging that fighting during my youth had been traumatic.
