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The phrase "are randomly selected" is correct and usable in written English.
It can be used when describing a process in which items or individuals are chosen without a specific pattern or order.
Example: "Participants in the study are randomly selected to ensure a diverse representation of the population."
Alternatives: "are chosen at random" or "are picked randomly".
Exact(60)
The other half are randomly selected by computer.
The children are randomly selected either to eat peanut products or to avoid them entirely.
Each year, addresses are randomly selected from the Post Office's postcode address file.
The subjects, who are randomly selected by a market research company, are never told that Disney is the one studying them.
Respondents, it says, are randomly selected.
The powerful nodes are randomly selected.
The original values are randomly selected.
Then, two columns (locations) are randomly selected.
The source-destination pairs are randomly selected.
Candidate changes to a solution are randomly selected.
In the random strategy, blocks are randomly selected for locking.
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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