The phrase "accepting a level of" is correct and usable in written English.
It can be used when discussing the willingness to tolerate or embrace a certain degree of something, such as risk, uncertainty, or change.
Example: "In order to move forward with the project, we must be accepting a level of risk associated with the new technology."
Alternatives: "tolerating a degree of" or "embracing a certain level of".
Punters accept a level of improvised unpredictability in street food, but the prices have to reflect that.
We've gone in a little bit of a wrong direction this year, but we also accept a level of responsibility for this as we set the tyre direction".
Von Trier's interest in sex, like his interest in race, is always a little prurient; he has certainly persuaded Howard to accept a level of nudity to which I am betting she will never again consent in her career.
The auction attracted twice the number of bids accepted, a level of demand that "compared favorably to the last two Spanish auctions," said Chiara Cremonesi, a fixed-income strategist at UniCredit.
"I think all of us in law enforcement accept a level of risk when we become police officers," he said at a news conference where he announced a $1 million reward for information that leads to the arrest of Mr. Dorner.
He also understood we will never prevent every act of terrorism or achieve perfect security and that we inevitably must accept a level of risk to protect our country and advance our interests and values.
One of the worst avalanches occurred just up the valley from Les Grands Montets, killing 12. "Most people are aware that when you go on a skiing holiday, you have to have snow," he said, suggesting that skiers were willing to accept a level of risk.
As the Scottish government says in its White Paper, it would accept a level of debt repayment.
And that every top cyclist now must accept a level of scrutiny their predecessors avoided, with disastrous results.
By shifting all the risk of saving for the future onto the shoulders of ordinary people, governments are forcing them to accept a level of risk that only the very rich can afford.
