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The phrase "also assumes that" is correct and usable in written English.
It can be used when indicating that something is taken for granted or accepted as true in addition to other statements or conditions.
Example: "The theory not only explains the phenomenon but also assumes that all variables are controlled."
Alternatives: "also presupposes that" or "also takes into account that".
Exact(60)
It also assumes that government could implement such a program.
It also assumes that former Kmart customers will wind up at Wal-Mart rathan TargetargeTarget
It also assumes that lower tax rates would encourage much stronger economic growth, reducing the cost.
Naim also assumes that the left is inherently a threat to US interests.
Third, the question also assumes that "Muslim political identity" is "increasing", when no such evidence exists.
The budget office also assumes that more Americans will be hit by the Alternative Minimum Tax.
Conversational style also assumes that you don't just read words off of a script.
"Limits" also assumes that abatement practices will at best reduce pollution by three‐quarters.
This metaphysic also assumes that the costs and losses of market forces are negligible.
But he also assumes that objectivity can coexist with professional interdependence.
It also assumes that public dissatisfaction with busing equals rejection of racial equality.
More suggestions(24)
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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