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The phrase "argument is invalid" is correct and usable in written English.
It can be used in contexts such as logic, philosophy, or debate to indicate that a particular argument does not hold up under scrutiny or fails to follow logical principles.
Example: "The reasoning presented in the debate was flawed, leading to the conclusion that the argument is invalid."
Alternatives: "the argument is unsound" or "the argument lacks validity."
Exact(30)
Your argument is invalid.
Then there's Nic Cage as everyone, and his turn at Your Argument is Invalid.
The value will be "Key", "Data", or - if the input argument is invalid - None.
However, Lang and Warman's ethical argument is invalid if the methodology of such historical comparisons is flawed.
Added optional "device" argument to all "Rt" classes (audio and MIDI) and printout of devices when argument is invalid.
The argument is invalid.
Similar(30)
These proposals appear to yield valid arguments for wagering for God, where Pascal's argument was invalid.
400 - if the Dienst request is malformed; for example, illegal arguments or the values of arguments are invalid.
But such arguments are invalid because their opponent in the general election will not the other Democrat: it will be John McCain.
'Global "Level Playing Field" Arguments are Invalid' and 'Battle to Regulate Banks has just Begun,' Anat R. Admati and Martin Hellwig, full text (PDF) in Martin Wolf's Economists Forumm, June 7 2011, edited version, June 3 2011 Financial Times.
His complaint is not that their arguments are invalid, though that would be already to take on a quasi-scientific mode of assessment.
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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