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The phrase "assumptions that the" is correct and usable in written English.
It can be used when discussing beliefs or ideas that are taken for granted in a particular context or argument.
Example: "The assumptions that the researchers made were crucial to the validity of their findings."
Alternatives: "presumptions that the" or "beliefs that the".
Exact(60)
Among the assumptions: "That the administration is telling the truth.
It was from these assumptions that the figure of £1.9bn had been generated.
This confounds assumptions that the capital's enlarging head count is directly due to foreigners moving in.
It is among these assumptions that the source of the errors must lie.
economist, Coleman Nee, described as assumptions that the European Union was "getting its act together" financially.
The president said old assumptions that the US and Russia were antagonists vying for spheres of influence were wrong.
If it did not, Equilar used the assumptions that the company provided to generate the numerical value.
Their analysis – that the problem is worklessness – is wrong; their assumptions – that the poor are feckless – are wrong.
One reason forecasting models are so fallible is that they rely on the assumptions that the user plugs into them.
What emerged was an appalling pattern of assumptions that the vehicle could survive minor mishaps and be pushed even further.
He said the decision was based on faulty "assumptions that the court made in 1986 about the realities of gay lives and gay relationships".
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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