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The phrase "assumed based on" is correct and usable in written English.
You could use it when you are trying to express that something is assumed to be true based on some evidence. For example: The number of people affected by the storm was assumed based on the destruction caused by the heavy rains.
Exact(60)
But I assumed, based on the documentation, that they were all legitimate companies".
"I just assumed based on Melo's reaction that maybe Kevin went there," Porter said.
I assumed, based on William's good cheer when he called me in the morning, that the situation wasn't serious.
I assumed, based on the other schools Adler is interested in, that she would also like Williams College in Massachusetts.
Many districts have long assumed, based on research, that it takes seven years to bring students who speak no English to full fluency.
Some of the data have been assumed based on expert estimation.
The formulation of the complexes is assumed based on their elemental analysis and the molar conductivity.
Different applications are assumed based on computation requirement, duration, and required QoS (i.e., T_D).
For probabilistic SA, beta distributions were assumed based on published 95% confidence intervals.
Similarly, for [10, 12], the estimation rate was assumed based on their average estimation error rate.
The operational timing has been assumed based on standard operations (working hours) as mentioned above.
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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