The phrase "advance this notion" is correct and usable in written English.
It can be used when you want to promote, support, or develop a particular idea or concept further.
Example: "In our discussion, I would like to advance this notion that collaboration leads to greater innovation."
Alternatives: "promote this idea" or "further this concept."
The Scruggs defense lawyers soon advanced this notion themselves.
Chris Riley, a rookie, advanced this notion, right after he said: "I don't like the Ryder Cup - I love the Ryder Cup".
Strikingly, most of the people who had advanced this notion to the detective were Koehler's relatives — and even they left some doubt.
(A disclaimer that advances this notion of incestuousness: I have been a guest on "Hardball" on occasion, but probably not more than a half-dozen times over the years.
And I suppose that it could be argued that "Anyone Can Whistle" was ahead of its time in advancing this notion, given that movies with similar themes, like "King of Hearts" and "The Graduate," would soon become talismanic favorites of young Americans.
Apple will continue to make its play for the living room, but supplanting the consoles is out of the question (not that many have advanced this notion).
Italian economist Amilcare Puviani first advanced this notion in 1903 that a politician will best use his powers of the purse to promote their own political projects, rather than what is necessarily best for the public.
In this respect, our results not only advance the notion that there is diversity, but that this diversity can now be studied in culture, using methods we have described in this report.
This paper aims to advance the notion of the "situated functionality of numbers" (Ahrens & Chapman, 2007) by investigating the practical knowledge of strategy which shapes the calculations performed by accountants and middle managers when they are making a budget.
Jon Faddis, advances this guildlike notion.
