The phrase "advocate the notion" is correct and usable in written English.
It can be used when expressing support or endorsement for a particular idea or concept.
Example: "In her speech, she chose to advocate the notion that education should be accessible to all."
Alternatives: "support the idea" or "promote the concept."
In a recent publication, I advocate the notion of the Flagship University as a more relevant ideal – a model for public institutions and perhaps some private institutions, one that could replace or perhaps supplement and alter the perceptions, behaviour and goals of ministries and universities in their drive for status and influence in society.
To move beyond single point analyses, we advocate the notion of relevant spatial scales for the analyzed and applied geoelectric fields.
Moreover, our results also advocate the notion that microbial-driven bioremediation is an effect way to clean the contaminated sites (Gharasoo et al. 2015; Hussain et al. 2009b).
The findings of our study advocate the notion that maintaining set and set shifting represent two distinct and rather difficult phases of WCST.
However, we do not advocate the notion that these are new species, distinguishing between species using pairwise distances from a fragment of a single gene is not a reliable taxonomic approach [ 22].
Model-based engineering in general, and model-based software development in particular, advocates the notion of using models throughout the development and life-cycle of an engineered system.
Scudamore's plan would have had each team play a competitive league match somewhere else in the world, with the Premier League chiefs advocating the notion that the extra game would be taking the teams to their global audience, much as the N.F.L. does in scheduling a regular season game in London every year.
It was Champsaur ([1976]) who advocated the notion of neutrality for the MDP Procedure, and Cornet ([1977b]) generalized it by omitting two restrictive assumptions imposed by Champsaur, i.e., (i) uniqueness of solution and (ii) concavity of the utility functions.
Perhaps no better an example of this is Alice Feiring; her sense of humor often rubs readers and other bloggers the wrong way, but Feiring is fiercely passionate about the idea of natural winemaking, constantly advocating the notion that what's in the bottle should speak for the ground on which the grapes were grown.
