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The phrase "are supposedly excluded" is correct and usable in written English.
It can be used when discussing individuals or items that are claimed to be left out or not included in a particular context or situation.
Example: "The new policy states that certain employees are supposedly excluded from the mandatory training sessions."
Alternatives: "are allegedly excluded" or "are thought to be excluded".
Dictionary
are supposedly excluded
adverb
As a matter of supposition; in the beliefs or according to the claims of some people.
synonyms
Exact(1)
One way to achieve this would be to throw the party open to all at present, private businessmen, deemed exploiters still, are supposedly excluded.
Similar(58)
While physicians were supposedly excluded if the drugs were deemed medically necessary, the law severely limited the ability of doctors to prescribe opiates.
Pro-forma profits are, supposedly, a firm's measure of its core continuing profitability, excluding the impact of exceptional one-off gains and losses.
So tax cuts that are supposedly directed at an average family by imposing an income ceiling of say, $52,000, might exclude many of those in New York.
"These are supposedly the smart people".
And girls are supposedly O.K. with both?
Both features are supposedly lacking in euroland.
The Giants are, supposedly, simmering.
While all models are supposedly wrong, some are useful [ 89].
Once supplied at all, it is supposedly impossible to exclude anyone from the consumption of a public good.
In ministerial meetings on July 15 and 19, a deliberately provocative ultimatum was drafted in words that supposedly excluded the possibility of acceptance by Serbia.
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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