The phrase "applications went through" is correct and usable in written English.
It can be used to indicate that applications have been processed or accepted, often in a formal or administrative context.
Example: "After a thorough review, we are pleased to announce that all applications went through successfully."
Alternatives: "applications were processed" or "applications were accepted".
Last week, it disclosed more information about the procedures, including that the applications went through four stages, as well as the number of organizations culled after each.
Fred S. Fielding, the White House counsel in Mr. Reagan's first term, said that all pardon applications went through the department, with the possible exception of those involving the F.B.I. officials.
By the next deadline, in June, ETSU had a better experience: All eight of their R15 applications went through error-free.
The applications went through an international Jury of experts who selected the 25 finalists from hundreds of applications, from 52 countries across the world, which pitched their project in front of an international Jury and Summit attendees.
Guess I'll just have to wait and see if that Irish passport application goes through!
Official applications go through the Princeton University Graduate Admissions web page.
— Tanya Abrams Do applications go through a series of rounds (filtering)?
Over the past five years, the government has quietly liberalised the work-permit system: businesses, which used to have a tough time getting permits for foreigners, now find that applications go through pretty much on the nod.
While Apple's iPhone and iPod Touch applications go through a strict vetting process and can only be released through the iTunes Apps store, from which the company make a slice of the profits of every application sold, those developed for Android will be open to distribution via different routes, and charges will be managed by the software distributors themselves.
"At any one time I have 50 or so patent applications going through the exam process.
And if some other applications go through, perhaps as many as 25,000 patents.
