The phrase "allegedly moves" is correct and usable in written English.
It can be used when discussing actions or claims that are reported or believed to be true but have not been proven or confirmed.
Example: "The company allegedly moves its operations overseas to cut costs, although no official announcement has been made."
Alternatives: "reportedly moves" or "supposedly moves".
During that time, Bolton allegedly moved to punish subordinates who sought to check his manipulation of intelligence.
Yet when his health began to deteriorate, La Grange claims, the rest of the Mandela family allegedly moved to sideline her.
Mr. Khan broke up with then-girlfriend Sangeeta Bijlani to date Ms. Ali, and the two were together for eight years … until Mr. Khan then allegedly moved on to Aishwarya Rai.
He writes that it has been "omitted" from reports on the Willingham case that Willingham had allegedly moved a refrigerator against the back door of the house.
As the delegation arrived, Mr Milinkovic allegedly moved away from them and apparently leapt to his death by jumping over the wall of the car-park.
Then in March 2015 he allegedly moved to Khartoum to be closer to family members such as Seghen – long after Mered is alleged to have begun his smuggling business.
We're susceptible to the same panic as rogue states such as Iran and North Korea allegedly move toward the development of nuclear weapons.
She allegedly moved westward on a wagon train when still quite young her mother dying en route and her father dying in Salt Lake City, Utah, leaving her on her own at an early age.
Richard A. Brown, the Queens district attorney, has charged Mr. Sexton with second-degree murder, possession of a deadly weapon and tampering with evidence, for allegedly moving the body, a spokesman for Mr. Brown said yesterday.
And in the early hours of Friday morning, San Diego police killed a 54-year-old man who was allegedly moving in the officer's direction with a box cutter before being gunned down.
