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The phrase "as the argument progresses" is correct and usable in written English.
It can be used to indicate the development or evolution of an argument over time in a discussion or text.
Example: "As the argument progresses, it becomes clear that the initial assumptions were flawed."
Alternatives: "as the discussion unfolds" or "as the debate advances".
Exact(1)
Macpherson claims that as the argument progresses, each of these restrictions is transcended.
Similar(59)
As the argument progressed, some justices wondered about their own competence to undertake a salvage job.
As the argument progressed, one justice after another tried to boil the case down to its essence.
In contrast to his usual air of wry good cheer, Justice Breyer appeared weary and somewhat forlorn as the argument progressed.
The question was whether a central portion of the Voting Rights Act is constitutional, and as the argument progressed, it appeared quite likely that the answer from Chief Justice Roberts and his conservative allies might well be "no".
The chief justice, recalling Mr. Wall's own inability to cite precedents for his position, responded in a mocking tone, "So you think it's significant if you can't point to a single case?" As the argument progressed, the justices seemed to become increasingly alert to the importance of the matter at hand.
Justice Ruth Bader Ginsburg, too, was skeptical about "requiring somebody to say 'I believe this' or 'I agree with the government on that.' " But what seemed like a consensus disintegrated as the argument progressed and the justices started to sort through what conditions might be permitted by the First Amendment.
As the argument progressed, the couple allegedly began hitting each other before Tibbs strangled her to death in the car Freeman was driving, according to WLS.
As his argument progresses, Kimhi draws on the insights of historical figures such as Aristotle, Kant, and Wittgenstein to develop highly original accounts of topics that are of central importance to logic and philosophy more generally.
But as his argument progresses, Topolsky seems to do what many of us now do: interchange the meaning of the words "Web" and "Internet".
This appeal to the community will assume a distinctive philosophical shape as the argument of Being and Time progresses.
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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