The phrase "bear a large responsibility" is correct and usable in written English.
You could use it when describing a situation where someone has an important or difficult task to complete. For example, "The manager of the department had to bear a large responsibility for the success of the project."
The U.S. bears a large responsibility for many of the things that have gone wrong in Pakistan.
"The West bears a large responsibility for the situation it is in," said Khan. "We started a war [in Syria] with no plan, which led to a refugee crisis that we have been unable to solve.
We bear a great responsibility to elevate our public narratives.
Journalists bear a large measure of responsibility for giving credence to the stories peddled by Iraqi defectors, intelligence services and government about Saddam's WMD.
But for the state of our ethics and morals -- that is, our spiritual state -- we are undoubtedly worse off, and for this Mr. Clinton must bear a large measure of responsibility.
Last week Rwanda and Uganda -- two former allies of Congo that bear a large share of responsibility for starting the war in 1998 -- began pulling their troops back from front-line positions in eastern Congo, the first steps, they said, toward leaving the country.
I tend to feel that men like me bear a large portion of responsibility to change the minds of other men, and provide guidance for younger generations.
The counter-argument here, however, would be that in trying something new – helping drug-reliant users get clean – rather than reverting to the failed tactics of the war on drugs, you'll continue to take smalltime dealers off the streets, while freeing up more time and resources to target the traffickers and wholesale drugs sellers who bear a much larger responsibility for fuelling the drug trade.
In contrast to the REACH Regulation and the polluter pays principle, consumers bear a large part of the responsibility in the application of personal care products [4].
