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"found on the basis" is a correct and usable phrase in written English.
It is typically used to indicate that something was discovered or established using a particular foundation or reasoning. Example: "Her conclusions were found on the basis of extensive research and data analysis."
Exact(60)
Dependency at discharge was studied in one review [ 101] and it was found, on the basis of two studies (one randomized and one non-randomized) that patients from the care pathway group were more dependent at discharge than the control group.
In this pilot study, we have intensively investigated a cohort of patients and found, on the basis of one or two separate tests over a 2-year follow-up period, that many patients show positive tests, sometimes confirmed by the CellSearch test for CTCs.
Singer et al. found, on the basis of a meta-analysis of 1,448 cases, that one-third of those in acute care hospitals suffered from mental health disorders [ 18].
Because we found, on the basis of visual inspection, that samples for which only one eye was available were more likely to be inaccurate, these samples were excluded, and smoothing was performed only for those iterations in which x- and y- gaze coordinates were returned for both eyes.
They found, on the basis of a few dozen of these stars, that the more distant ones were dimmer than expected, meaning that they had been carried farther away by the cosmic expansion than expected, meaning that the universe was speeding up.
The relationship between the machines are found on the basis of commonality score.
Differences were also found on the basis of pharmacy type, suggesting variability in pharmacist's decision making.
Most prostate cancers (PC) are currently found on the basis of an elevated serum prostate specific antigen (PSA) level.
For the convergence of this algorithm, a scope is found on the basis of the H∞-norm.
The optimum concentrations of these chelators were found on the basis of biomass production, tolerance and accumulation potential.
Most prostate cancers (PC) are currently found on the basis of an elevated PSA, although this biomarker has only moderate accuracy.
More suggestions(16)
found on the website
found on the property
found on the floor
found on the leg
found on the festival
found on the runway
found on the line
found on the archive
found on the plateau
found on the mattress
found on the internet
found on the museum
found on the market
found on the ground
found on the car
found on the bridge
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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