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The phrase "are nevertheless assigned" is correct and usable in written English.
It can be used to indicate that something is assigned despite other circumstances or conditions that may suggest otherwise.
Example: "Despite the challenges faced by the team, the tasks are nevertheless assigned to ensure progress continues."
Alternatives: "are still allocated" or "are nonetheless designated".
Exact(1)
Hence, two individuals with the same PIN (due to re-use of PIN) are nevertheless assigned different serial numbers in medical research (Figs. 2 and 3), and an individual who changes PINs (i.e. he/she has two PINs during life-time) will only have one serial number in datasets delivered from Statistics Sweden.
Similar(59)
species of the " D. affinis species group" because they lack caudally projecting spines at the frontal carinae (a pair of longitudinal ridges between the antennal sockets and the anterior sclerite), the species was nevertheless assigned to the subgenus Dorylus s.s.s
In a group practice, a number of general practitioners share the premises and certain facilities; nevertheless, patients are still assigned to a specific GP.
We are nevertheless convinced that the assigned sire is the actual father of this infant because (1) more than 98% of potential sires in the population, including all potential sires in group V, have been included in the analysis, greatly decreasing the chances of misassignment due to unsampled sires, and (2) all other sampled potential sires were excluded at three or more loci.
White is, nevertheless, bright.
McLeish was nevertheless pleased.
They were nevertheless evicted.
It is, nevertheless, malarkey.
He is, nevertheless, companionable.
She was nevertheless charmed.
It is nevertheless true.
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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