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This is correct and usable in written English.
Example: Ten applicants were eliminated based on their lack of qualifications.
Exact(19)
Probes were eliminated based on high similarity and hybridisation quality as predicted by eArray.
For example, patients who had received a diagnostic code for CH but who were described in the notes as having migraine were eliminated based on the assumption that a data entry error had occurred.
Three respondents were eliminated based on the filtering items, two identified their location as outside the US and were deleted, and 19 were also eliminated due to large blocks of missing data.
In addition, common English words that do not carry semantic value were eliminated based on a "stop word" list from the Cornell SMART project (ftp://ftp.cs.cornell.edu/pub/smart/english.stop).stop
Several major guidelines were eliminated based on these criteria.
A total of 475 were eliminated based on information in the titles and abstract.
Similar(41)
Viable suspects are eliminated based on their mothers' alibis.
Davydenko, Djokovic and Soderling all finished with two wins in the round-robin phase, but Djokovic, ranked third in the world, was eliminated based on sets won.
The contestants will be eliminated based on voting by three elements -- the public, a team of judges and the band itself.
This target should be eliminated based on the calculated results.
For example, the fractures are eliminated based on aperture, starting with the smallest aperture, and then in order of increasing aperture.
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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