I doubt that’s even possible anymore, at least without using Boolean operators. Trying it now always returns a bunch of stuff that’s relevant to only one of the words.
Coelacanth Trotskyism: Top hit is for an archived issue of History Today magazine in which the words appeared in unrelated articles. The next four are general reference articles about one or the other, from Wikipedia, the Smithsonian Institution, Britannica, and “Trey the Explainer on Twitter”. Then there are four “Images”, all of which appear to feature only one or the other. Next is an article from a 1998 issue of International Socialism called “The Legitimacy of Modern Art” which I am not even going to attempt to read, but based on the quote the author compares something or other to a coelacanth at some point. Possibly the hit was due to the fact that this article was thought highly enough to be archived in the Encyclopedia of Trotskyism Online. Next is an idmb review of a 2001 video entitled “100 Reasons Why Evolution Is So Stupid!” I think creationists try to make some sort of point or something about coelacanths, and presumably the guy takes a swipe at Trotsky at some point. Note that this search returned no commercial sites at all on the first page. Presumably Trotsky would be proud.
**Coelacanth extrajudicial:**Top hit is the Smithsonian coelacanth article. The next thing up is the “Images” bar, three of which are identical and all link to the same etsy.com listing for coelacanth fossils (which is also the second overall result) and the other is a coelacanth iron-on patch you can buy. There don’t really seem to be any relevant hits for this one, in the sense of a quote using both words in the same paragraph. So it seems like if it can’t come up with anything else, it will try to sell you things.
Coelacanth yokozuna (the highest rank in Japanese sumo wrestling): There’s a species of coelacanth called the “yokozuna slickhead”? Are you kidding me??
Coelacanth primogeniture: The top several hits don’t include one word or the other. The images are weird; two of them are links to “list of words” .txt files, then to the American Heritage Dictionary, which apparently has an appendix on “Indo-European roots” which might include both words…then, I guess segueing from that, it starts trying to sell you dictionaries, including by the eighth image, “Curious George’s Dictionary”, which I am pretty sure doesn’t include either of those words, even though George is a very clever monkey. But clicking on Curious George actually takes you right back to the AHD Indo-European roots article! The sixth hit actually seems like the most relevant, an article from the Review of Periodical Literature in 2002. It’s paywalled, but the quotes are
by D Pratt · 2006 — Bryer’s piece is a historical coelacanth, which discusses 'the origins and consequences of … society than if primogeniture had prevailed. Lord Palmerston.
But again, the actual non-image search results were completely devoid of commercial sites. Weird.