The phrase "acknowledged that even though" is correct and usable in written English.
It can be used when introducing a concession or a contrasting point in a statement, often to highlight a recognition of a situation while also presenting an opposing idea.
Example: "She acknowledged that even though the project faced numerous challenges, the team remained committed to its success."
Alternatives: "recognized that despite" or "admitted that although".
But she acknowledged that even though most decisions were made through discussions, she still answered to a foreign boss.
And Dacre acknowledged that, even though we were speaking during the week of the opening, he had not decided whether to censor the references.
He acknowledged that even though he has confidence in Hernández, he cannot say for sure that El Duque will be able to make 32-34 starts next year, based on his poor record the last two seasons.
In state police barracks, some black and Hispanic troopers bitterly acknowledged that even though the state officially prohibited racial profiling, senior troopers trained them to single out drivers on the basis of their ethnicity or race.
But she acknowledged that even though such plants would never turn up in a taco shell or other human food, the prospect of genetic manipulation would probably be looked at skeptically by the public.
Jim Collins, a spokesman for Laurel, a Maryland suburb just north of the Beltway in Prince George's County, acknowledged that even though the city's police chief was in touch with the task force, officials did not become aware of the sniper's specific threats toward children until Tuesday through the news media.
Near the end of his admonition, Rogan turned philosophical, acknowledging that even though fighting is a business, at once lucrative and precarious, most fighters don't fight primarily for money.
Athletes arguing for change acknowledge that, even though billions flow into the Movement, there's not enough money generated by the Olympics for everyone to get rich.
Yet they acknowledge that even though their five-year plan is to build 5,000 sanitation centers that would service more than 1 million people, this would only address about 8percentt of the population in need in Kenya.
In a box in the first chapter of the WEO the IMF acknowledges that even though its forecasts have gotten ever gloomier since 2010 they have not gotten gloomy enough, fast enough.
