The phrase "argued repeatedly" is correct and usable in written English.
It can be used to describe a situation where someone has made the same argument multiple times, emphasizing persistence or insistence.
Example: "During the debate, she argued repeatedly that climate change is a pressing issue that requires immediate action."
Alternatives: "contended persistently" or "asserted multiple times".
Mr. Baker argued repeatedly that recounting punch-card ballots by hand was less accurate than machine counts.
Indeed, only a few months ago, he argued repeatedly in interviews that student subsidies were a bad idea that encouraged colleges to raise their tuition.
Ms. Sherrod argued repeatedly that the Internet posting took her remarks out of context, and that the talk was actually about racial reconciliation.
Cadbury has argued repeatedly that it would prefer to remain independent, pointing to faster-than-expected success in its turnaround program.
And part of the problem was that, as Paul Krugman and the editorial page have argued repeatedly, the stimulus was too small.
Two senators on the Intelligence Committee, Ron Wyden (D., Ore). and Mark Udall (D., Colo)., have argued repeatedly that there was a "secret interpretation" of the Patriot Act.
This time he has been obliged to argue repeatedly that he is not actually rooting for Mr. Putin — hardly a rousing theme for a presidential campaign.
She argues repeatedly with Roy about his attempts to "save China", until the pro-democracy movement of 1989 finally shakes her out of her cynicism.
But that's not in St Thomas's notes and I find myself arguing repeatedly against the possibility of an unnecessary chest X-ray.
Several characters exist primarily to deliver political and social précis, arguing repeatedly that while China can be an insidious country, we Westerners are hardly innocent of exploiting other nations.
Haygood, a writer at The Washington Post and the author of a biography of Adam Clayton Powell Jr., argues repeatedly that Davis wanted to be white; he quotes a Davis employee who says, "He thought he was white".
