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The phrase 'are randomly assigned' is correct and usable in written English.
It is typically used when referring to specific items or tasks that have been assigned in a random manner. For example, "Participants to the study are randomly assigned to one of two treatment groups."
Exact(60)
Students are randomly assigned, creating a calculatedly diverse group.
Participants are randomly assigned to a treatment group.
People are randomly assigned to receive your program, while others are randomly assigned to be "controls," and impacts on the two groups are compared.
Participants are randomly assigned to get an infusion of nesiritide or a placebo, a saltwater infusion.
Note: Registration appointment times are randomly assigned after the first day.
At this point, patients are randomly assigned to groups taking the new therapy or the old one.
Students are randomly assigned to a language arts class with positive psychology or to a class without it.
In fact, in many clinical trials subjects are randomly assigned to take the drug or a placebo.
"Orange," too, has a brutal lottery scene, in which inmates are randomly assigned to a garment sweatshop.
According to prosecutors, the bribery scheme involved overriding the automated system under which cases are randomly assigned to judges.
In this type of experiment, volunteers (preferably hundreds of them or more) are randomly assigned to one of two groups.
More suggestions(15)
are randomly integrated
are easily assigned
are arbitrary assigned
are randomly chosen
are randomly spread
are randomly conducted
are randomly poisoned
are randomly generated
are randomly permuted
are randomly dropped
are randomly recruited
are randomly checked
are randomly oriented
are randomly employed
are randomly selected
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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