The phrase "correctly determined that" is both grammatically correct and commonly used in written English.
It is often used to describe when someone has correctly ascertained or figured out something. Example: The detective correctly determined that the suspect had an alibi for the time of the crime.
The school correctly determined that the law requires it to ensure that its student organization program does not permit discrimination.
He goes into the weekend having established a moral advantage once the stewards in Austria correctly determined that Rosberg was to blame for their most recent altercation.
Melvin correctly determined that the team he had would almost certainly miss the playoffs, but that by adding one more star, they stood a good chance to advance.
Passing now to the court's ruling, it correctly determined that the alphabet is in the public domain, a finding plaintiffs do not dispute.
In doing so, she correctly determined that an ongoing manual recount, based solely on voter error, is not a sound basis for ignoring a statutory deadline to report election results...
The trial judge correctly determined that the secretary exercised her reasoned judgment to determine what relevant factors and criteria should be considered, applied them to the facts and circumstances pertinent to the individual counties involved, and made her decision.
First, it is generally agreed that the notion of awareness in Premise (1) should be interpreted as a success notion, i.e., that to be aware that I have experiences that occur in a specific temporal order is to correctly determine that they occur in this order (Allison 1983: 290ff, Guyer 1987: 293ff, Dicker 2004, 195ff., 2008; Chignell 2010).
Ms. Jacobs acknowledged that the Administration for Children's Services might at times correctly determine that marijuana use was one of many serious problems in a family, but she contended that those were only a minority of the cases.
Camby steered Stoudemire left, rode his right shoulder, stripped him as he attempted liftoff and sweated out an official's review to correctly determine that the ball went out of bounds off Stoudemire's knee.
When the student sees that the resulting seventh piece is far too big, the student is then able to correctly determine that the first six pieces need to be longer and the last one shorter.
Former Republican economist Bruce Bartlett writes about this entanglement of the fiscal cliff and the debt limit, and correctly determines that the latter issue is more serious than the former.
