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The phrase "also assumed that" is correct and usable in written English.
It can be used when indicating an additional assumption made in a discussion or argument.
Example: "In the study, the researchers also assumed that participants would respond consistently throughout the experiment."
Alternatives: "further presumed that" or "additionally believed that".
Exact(60)
It is also assumed that is known perfectly.
We also assumed that surgery would be done as it was in the trials.
It also assumed that ovulation took place 15 days after the first day of menstruation.
We also assumed that observers impartially assess ingroup and outgroup donors.
I also assumed that Johnson didn't have long to live.
Erbelding also assumed that the officer was mistaken about Auschwitz.
She also assumed that transportation would be provided.
It is also assumed that measurements are contaminated by noise.
It is also assumed that the Poisson's ratio is constant.
The Tech also assumed that only fines are given as sanctions.
They also assumed that many of the Mongols already were Christians.
More suggestions(19)
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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