The phrase "acknowledged element" is correct and usable in written English.
It can be used in contexts where you want to refer to a component or aspect that has been recognized or accepted in a discussion or analysis.
Example: "The acknowledged element of the theory is its emphasis on empirical evidence."
Alternatives: "recognized component" or "accepted factor".
Background: Aggression and threats of violence are acknowledged elements of psychiatric settings.
Rather, most texts reflected one (most commonly, modernist) discourse but, to a greater or lesser extent, acknowledged elements of the other three.
Turnbull acknowledged an element of disillusionment with major parties and said Pauline Hanson had tapped into "real concern in the community" about foreign ownership of agricultural land.
I called Christian Beckwith, the magazine's founder, who praised Robert's courage, if not his prowess — "The technical difficulty of what he does is not extraordinary," he said — but acknowledged an element of sacrilege in his "shtick".
A subsequent column published below acknowledged key elements of the original story were unable to be substantiated.
Inside, Leslie Jamison, grinning widely, read a story about a breakup, followed by Nam Le, who acknowledged the elements with a stormy tale of fishing, while lightning flashed behind him.
In her report she acknowledged that elements would be "hard to read", particularly for Muslim communities which already felt under pressure, but she said the country had to face up to "uncomfortable" problems.
MOSCOW — In what appeared to be a calculated pre-election appearance, Prime Minster Vladimir V. Putin on Friday reflected on his 11 years in power and acknowledged that elements of the system he created needed to change.
Mr. Miller initially refused to address reports that disciplinary action had been taken against him while he worked for the borough, though he later acknowledged some elements of the case.
However, he acknowledged that elements of discrimination had "crept back in".
