The phrase "as he determines" is correct and usable in written English.
It can be used when referring to someone making decisions or judgments based on their own criteria or understanding.
Example: "The project will proceed as he determines the best course of action."
Alternatives: "as he decides" or "as he sees fit."
These donors will also be hiring lobbyist Racicot to tell Republican legislators how to vote -- as he determines which G.O.P. candidates get the party's money.
Democrats reluctantly revised the measure to allow Mr. Bush to grant immunity to Iraq, as long as he determines that doing so promotes Iraqi reconstruction and that the Iraqi government remains a "reliable ally" in the fight against terrorism.
This resolution would authorize the president to use the military forces of this nation wherever, whenever and however he determines, and for as long as he determines, if he can somehow make a connection to Iraq.
For now, all eyes are on Mr. Feinberg as he determines the rules and decides who will be dealt a hand in a game of Texas Hold 'Em with some of the highest stakes in legal history.
RIVERA EXAMINED BY 3 DOCTORS Yankees closer Mariano Rivera was examined by three doctors at two hospitals as he determines where he will have knee surgery to repair a torn anterior cruciate ligament and damaged meniscus in his right knee.
Adam snaps into terse, businesslike mode, trying to keep the woman calm as he determines how best to handle the situation: an unconscious pilot and a passenger with no flying experience.
He was a quick and reasonably accurate judge of character, and as soon as he determined that someone was not a threat he began the process of figuring out what the person could do for him.
When confronted with the prospect, I'd see him crane his neck above the crowd, and watch his face as he determined how he could jump to the head of it.
When the control board concluded that the city was planning to spend more than it took in, the mayor was ordered to make such additional cuts as he determined appropriate in order to bring the budget into balance.
He did not like leaving his family and the home they had established in Panama and he intended to request orders home as soon as he determined he was not needed.
This was to mark a turning point in his thinking about the war as he determined that he was morally responsible for his actions and for their consequences, despite the chain of command.
