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The phrase "are picked based on" is correct and usable in written English.
It can be used when describing the criteria or factors that influence the selection of something.
Example: "The candidates for the scholarship are picked based on their academic achievements and community service."
Alternatives: "are selected according to" or "are chosen based on".
Exact(5)
The samples we're picking in South Carolina or Nevada [which were held on different days] for the Republican side or the Democratic side are picked based on past voting history by party.
Caregivers are picked based on their credentials, experience, education, and location.
Interns are picked based on their portfolio performance, research and discussions on the site.
The books aren't chosen at random, but are picked based on the age of the child and the current theme.
In addition, in the 5CVN-adroit algorithm, the next-hop gateway and the ANB are picked based on the fitness value and reserved ahead before ingress vehicle transmitting the request.
Similar(55)
The exponential line or curve of best fit was picked based on the value of R 2, which is closest to value one (1) as compared to the other curves.
Of the 300-plus images from Fischer's Tumblr, the ones the artist actually printed out and exhibited were picked based on the on the number of reblogs and likes in a month (which ranged anywhere between 20 to 5,500 notes).
Students were picked based on essays they wrote.
But more than statistics, Collins said Baxter was picked based on what coaches and officials had observed in his approach at the plate.
These were used to relocate the perforation shot, and an optimal velocity model was picked based on the results.
For experiments performed on the FAU Aibo corpus, the number of states and mixtures were picked based on a preliminary search and the results are discussed in Section 7.2.
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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