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The phrase "assigned and unassigned" is correct and usable in written English.
It can be used in contexts where you are discussing tasks, roles, or items that have been designated (assigned) and those that have not (unassigned).
Example: "The project manager reviewed the list of tasks, noting which were assigned and unassigned to team members."
Alternatives: "designated and undesignated" or "allocated and unallocated".
Exact(16)
2. Sometimes the terms "assigned" and "unassigned" or "conventional" and "non-conventional" are used to mark this distinction.
For example, a librarian sees a queue of queries assigned and unassigned.
Probably because of small numbers, no difference was evident in the attack rate between staff assigned and unassigned to a patrol, between boy and girl campers, between patrols, or between those who recalled or did not recall being in contact with a case-patient.
An analysis comparing the distribution of transcript and open reading frame lengths of assigned and unassigned transcripts shows that the average classified transcript ORF length (266aa±182) is more than double that of the unclassified (111aa±98) (Figure 9A).
In all groups, assigned and unassigned vocalizations occur throughout the experiment.
Percent of juveniles assigned and unassigned to experimental families five months and one year after release.
Similar(44)
Based on these calculations, 94.1% of the animals in the first experiment were within the ranges of their known genotype (correctly assigned), and 5.9% were outside either range (unassigned).
The roles were assigned, and almost tribal.
It is assigned, and different societies assign it differently.
It was assigned and removed.
NY 146B was assigned and removed.
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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