The phrase "advancing a claim" is correct and usable in written English.
It can be used in contexts where someone is putting forward or supporting a particular assertion or argument.
Example: "In her research paper, she is advancing a claim that climate change is primarily driven by human activity."
Alternatives: "putting forth a claim" or "proposing a claim."
"I find myself in an odd position," he said, "because I'm ethically bound not to advance a claim I think is false".
Periodically in the past the cry has gone up, "Ballet Theater has become a real company at last!" Few would advance a claim so bold just now.
Although before he became king of Portugal he had advanced a claim to the Castilian throne (1354), he later helped Castile against Aragon (1358 and 1360).
It limits the power of Congress in areas like speech, assembly and religion regardless of who might advance a claim -- citizen or not, "person" or not.
There's a lot to consider here, but the important thing is that one of these papers has advanced a claim that's going to turn out to be wrong, and the consequences for people who cover politics and botch a story are -- ha ha, just kidding, there are none, don't be insane.
Finally, one might argue that even if Laughlin and Pine are advancing a stronger, ontological claim, the evidence they adduce clearly supports only an epistemological conception, while being neutral on the question of ontological emergence.
But Plantinga and Reichenbach are advancing a rather stronger claim here, for they are saying that one needs to look at all of the traditional theistic arguments, such as the cosmological and the teleological.
And in his written answers to the Judiciary Committee two years ago, he expressed some skepticism about the argument that strings attached to federal funding could amount to undue coercion on the states, referring to the "heavy burden one advancing such a claim would bear").
Evaluative questions require you to take and defend a position, to advance a thesis claim (i.e., interpretation / argument), in response to them.
In Syria and Iraq, according to the president, America is "stopping ISIL's advance"—a questionable claim.
