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The phrase "a program under which" is correct and usable in written English.
It can be used to describe a specific program or initiative that operates according to certain rules or conditions.
Example: "The organization launched a program under which participants can receive training and mentorship."
Alternatives: "a program that allows" or "a program designed to".
Exact(60)
Some schools, like Robert Smalls Middle School in Beaufort, S.C., have a program under which students parents can lease a laptop, in this case for $15 a month, for the child if they cannot afford to buy one.
It would also create a program under which domestic partners could register with the mayor's office.
Gov. George E. Pataki has heavily promoted a program under which people receive $75 for turning in inefficient air-conditioners.
On Sept. 24, the department started a program under which nonessential American diplomats and the families of embassy employees were allowed to leave the country at government expense.
He said Enron had sponsored a program under which schoolchildren came to the Menil and wrote creative works inspired by the art there.
Recently, California instituted a program under which all students who graduate in the top 4percentt of their high school classes are guaranteed entry to state colleges.
CARE's decision involves a program under which the federal government buys crops from American farmers, ships them abroad and gives them to charitable agencies.
The Government Accountability Office, a watchdog arm of Congress, is re-evaluating a program under which federal officials trained the deputies here and elsewhere in immigration enforcement.
In this negotiating year, management officials have proposed a program under which players would be tested for just about everything but Rice Krispies.
It was described as the first stage of a program under which many suspected Taliban fighters held by Americans might be freed over the coming months.
Clinton announced a program under which General Mills, in return for labels from New York apples, would donate money to the state's schools.
More suggestions(15)
a pseudonym under which
a policy under which
a plan under which
a declaration under which
a law under which
a scenario under which
a weight under which
a tree under which
a formula under which
a deal under which
a settlement under which
a banner under which
a framework under which
a proposal under which
a floor under which
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com