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"after the study" is correct and usable in written English
You can use it to refer to something that happened or will happen after a period of study. For example, "After the study, the students had a greater understanding of the material."
Exact(60)
All began receiving treatment, however, after the study ended.
The researchers published similar results in 1997, providing data five years after the study began.
Not long after the study was published, Heinemeier received a request from police in Germany.
Ten years after the study began, there was no benefit from breast self-examination.
After the study, repellents using oil of eucalyptus were introduced in the United States.
In a debriefing after the study, Mary said, "When I'm at home, my husband is useless.
Three years after the study began, almost everyone had regained the weight they lost, despite counseling on diet and exercise.
The proportion increased when a related article appeared in the Daily Mail after the study was concluded.
After the study came out, Mr. Casey said, some of his 15,000 clients, who include practitioners and consumers, called.
Six months after the study began, those who had gotten platelet injections were better off.
After the study, Dillon asked the participants what they thought.
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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