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The phrase "They estimated that" is correct and usable in written English.
You can use it when presenting a calculation or approximation made by a group or individual regarding a specific quantity or outcome. Example: "They estimated that the project would take six months to complete."
Exact(56)
They estimated that 20% of the phenotypic change was due to evolution.
They estimated that roughly 50 people, including police officers, looked into the pool and saw nothing.
They estimated that there will be 850,000 people affected by the condition by next year.
They estimated that restoration would cost $285,000, but have so far spent $400,000.
They estimated that the gunman was fully facing Mr. Johnson from an adjacent park.
They estimated that 47% US employment is in the high risk category.
They estimated that the new planet has a mass at least three-fourths that of Jupiter.
They estimated that the 200,000 with the most severe disease would be candidates for Benlysta.
They estimated that it would take at least two days to explore the material fully.
They estimated that nearly all the players eventually attended the party.
They estimated that the expedition would cost about half a million dollars.
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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