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The phrase "are assigned into" is not correct in standard written English.
It is typically used incorrectly when referring to the allocation of people or things to a group or category.
Example: "The students are assigned into different groups based on their skills."
Alternatives: "are assigned to" or "are placed in".
Dictionary
Exact(28)
In mammals, there are 18 HDACs identified to date and they are assigned into three classes based on the structural similarity to yeast homologues [20], [21].
First, all unlabeled samples are assigned into clusters.
If they are assigned into a superframe, the traffic distribution is unbalanced, which leads to a deterioration in network performance.
i.e., pico UEs are assigned into two sets, i.e., the normal UE set or the protected UE set.
The system divides the network into clusters, such that nodes are assigned into different groups with unique identifiers.
At the user side, N r x pairs of dual-polarized antennas are assigned into the ULA array.
Similar(32)
They were assigned into two different groups.
Other 11 patients were assigned into Group I.
The women were assigned into two groups, respectively.
In Likert scale categories have been assigned into 5 responses.
Patients were assigned into three groups according to ScvO2.
More suggestions(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