The phrase "acknowledge their responsibility" is correct and usable in written English.
You can use it when discussing accountability or the recognition of one's duties or obligations in various contexts, such as personal, professional, or social situations.
Example: "In order to move forward, it is essential for the team to acknowledge their responsibility for the project's outcome."
Alternatives: "accept their accountability" or "recognize their obligations."
Observers say both sides have failed to acknowledge their responsibility for violence.
The way forward, he said, is for Greeks to understand how the country got to where it is, and to acknowledge their responsibility.
I hope that the millions who voted for Mr. Bush in 2000 and 2004 will acknowledge their responsibility for putting this global menace in office and will seek to do a better job in the next election.
Carolyn Gomes, chairwoman of Jamaicans for Justice, a group that has brokered peace in several communities, said politicians had yet to acknowledge their responsibility for having created a culture of violence.
Finally, directors would acknowledge their responsibility to conserve the realizable value of the business against shrinkage and to prevent, as far as is reasonably possible, the establishment of a price level continuously and substantially below the realizable value.
When you see people like Dick Cheney telling a rapt Charlie Rose about his views on war and peace, it remains to be seen whether the elites will acknowledge their responsibility for the ongoing bloodshed in Iraq at all.
While universities acknowledge their responsibilities over student welfare, said Patterson, "provisional services are the first to go" when funding cuts come in.
Page A27 BOB HERBERT The financial system may be on the brink, but the antiregulation, free-market zealots are showing no interest in acknowledging their responsibility for the most serious economic crisis in decades.
"But by ensuring the agreement allows Rafael's continued monitoring of the situation in Lunda Norte, and garnering the general's commitment to ensuring the instances he alleges in his book do not continue, in effect, the generals are acknowledging their responsibility".
25 While acknowledging their responsibility to initiate discussions, many feared that early discussions may damage the hope that older people bring to the patient physician relationship.
Computer software makers are merely acknowledging their responsibilities by improving security and trustworthiness, and can do so without the sinister side effects that he warns of.
