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"deduced based on" is correct and can be used in written English.
It can be used when you want to explain that something has been realized or concluded from given facts, evidence, data, etc. For example: The suspect's guilt was deduced based on her fingerprints found at the crime scene.
Exact(60)
These results are deduced based on non-linear dynamic step by step analyses.
Zernike moments are deduced based on the theory of orthogonal polynomials.
The genotypes of the hybrids were deduced based on the genotypes of the parental lines.
The relative configuration of 1 was deduced based on ROESY experiment conjugated with the biogenetic analysis.
Finally, the approach to identifying the recaptured videos is deduced based on the suggested assumptions.
Hence, a nonlinear dynamic model of the satellite antenna system is deduced based on Lagrange's equations.
At the same time, the structural color was deduced based on the colloid nanoparticles ordered arrangement.
The mechanism was deduced based on the energy level of ZnO and Ag.
A simplified method is also deduced based on an assumed zero length of contact.
The natural frequency and mode are deduced based on the theoretical model.
In a similar manner, all the cases depicted in Figures 6 and 7 can be deduced based on this algorithm.
More suggestions(17)
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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