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The phrase "They ascertained that" is correct and usable in written English.
It can be used when indicating that a group of people has determined or discovered something to be true or accurate. Example: "After thorough investigation, they ascertained that the data was reliable and valid for their research."
Exact(8)
They ascertained that most of the patients who reported rupture-repair episodes also reported symptom reductions of 50% or more in all outcome measures.
On days when they ascertained that Bruni was coming, they called up friends to pack the restaurant.
Once they ascertained that there was no immediate crisis, they spoke among themselves while waiting for E.M.S.
Once they ascertained that the guy had some time to go before he hit, they put off first-aid procedures and took to flirting with our table.
When Jeffery and Roach (1994) reviewed American textbooks for primary education, they ascertained that the useful understructures of evolution "are not developed throughout the elementary years and thus do not provide the strong framework necessary for students to construct a scientific understanding of evolution" (p. 515).
The interviewees perceived a lack of sustainability in today's reindeer-herding activities, and they ascertained that they also had contributed to this development by starting to use trucks, helicopters, snowmobiles and motorbikes to a greater extent, which is very expensive and leads to costs that the industry is finding difficult to bear.
Similar(52)
As they gain the Mafia's trust, they ascertain that the mole has switched sides and is now leading the outfit.
These surveys cannot ascertain that statement, but they were carried out to control the expected impact on VAP prevalence.
Shuttle investigators say they have ascertained that the two-pound foam piece hit the Columbia with more than 1,700 pounds of force.
Doctors had previously indicated that they had ascertained that her powers of speech were starting to return but she was hampered by a breathing tube inserted into her throat.
They further ascertained that the education level of community residents also drives the implementation of nonstructural flood mitigation techniques since they are likely to be more aware of the long-term benefits of nonstructural approaches and the past failure of structural approaches.
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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