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The phrase "a supposed case" is correct and usable in written English.
It can be used when referring to a situation or instance that is assumed or alleged but not necessarily proven or confirmed.
Example: "In a supposed case of fraud, the authorities are investigating the financial records of the company."
Alternatives: "an alleged case" or "a purported case".
Exact(2)
A supposed case of murder and suicide, as well as a number of suicide cases, were reported yesterday [Jan . 3]
Two years later, the F.B.I. tried, unsuccessfully, to link Wilder to a supposed case of espionage for Germany at a camp for Austrian refugees in New Hampshire.
Similar(58)
In this outbreak, viruses could have already disappeared from the water or been present at much diluted concentrations in the supposed case of a transient contamination at the day of water sampling.
One point worth emphasizing is that a very large part of the supposed case against the GSEs rests on what has to be a deliberately misleading rhetorical tactic.
Table 8 displays results of this supposed case, assuming all ships are at high speed.
In a literature review, we found a total of 17 supposed cases of adaptation, mostly based on common garden experiments with organisms only deriving from typically two or three sampling locations.
Suppose case (2a) holds.
Suppose case 2 holds true.
Suppose case (i) occurs, we obtain (28).
Suppose case (ii) occurs, we obtain (30).
In this case, a supposed tertiary process becomes the first stage; this can also apply where the secondary process is skipped.
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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