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"assume that" is correct and usable in written English.
You can use it when you want to present a hypothetical scenario or situation. For example, "Assume that you have an unlimited budget, what car would you buy?".
Exact(60)
Assume that mathematical platonism is true.
Assume that meaning is determined by rules.
Assume that anti-nominalism is true.
Assume that H is a universal hypothesis.
Assume that is compatible.
Assume that x2∈ A3.
Assume that e∈ E H).
Next year, Golson may assume that role.
I assume that person has been fired.
I assume that was a good combination?
He will assume that post in September.
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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