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The phrase "assumes that when" is correct and usable in written English.
It can be used when discussing a condition or premise that is taken for granted in a particular context or argument.
Example: "The theory assumes that when certain variables are controlled, the results will be consistent across different experiments."
Alternatives: "presumes that when" or "takes for granted that when".
Exact(39)
Financial theory assumes that when buyers and sellers agree on a transaction price they are trying to find the real value of a share, bond or derivative.
"It's definitely entering dangerous territory because the social contract assumes that when I express opinions, those are genuinely my opinions," he said.
This argument (made by many posters) assumes that when science "changes its mind," it is because more precise and powerful techniques have given it a better purchase on the world it had previously perceived only dimly ("Now we see through a glass darkly").
Toshiba assumes that when users start tilting the display, their heads will move perpendicular to it.
This study assumes that when a wireless sensor network exists, no malicious nodes when it is deployed in the beginning.
Ceteris paribus, one assumes that, when given the choice, a person would prefer the job with higher earnings.
Similar(21)
You might assume that, when it comes to a standard whiteboard, there isn't much room for disruption.
(It helps to assume that when starting one).
"People assume that when Congress votes for something they send extra money," Mr. Mather said.
Assume that when you pour from one vessel to another no liquid is spilled.
I just assumed that when I walked away, that would be it.
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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