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Discover LudwigThe phrase 'certain assumptions' is correct and can be used in written English.
You can use it when you want to refer to a group of particular assumptions. For example: "Some of my calculations rely on certain assumptions that may not be accurate."
Exact(60)
Certain assumptions have been fulfilled.
But you are making certain assumptions.
"I had certain assumptions," she said.
Certain assumptions are made whenever Wales play England.
There are certain assumptions all the players make.
We make certain assumptions about the necessity of care.
But certain biases remain, as do certain assumptions.
The observer is globally asymptotically stable under certain assumptions.
A rigorous stability proof is provided under certain assumptions.
"After making certain assumptions, the Paralympic Games more than washes its face," he said.
Mr. Broome said current total-pricing systems, while sophisticated, still had to make certain assumptions.
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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