The phrase "asserts these" is correct and usable in written English.
It can be used when referring to someone stating or affirming specific points or claims.
Example: "The author asserts these points to strengthen her argument about climate change."
Alternatives: "claims these" or "affirms these".
Professor Davis asserts these trends result from increased reliance on overseas contractors for manufacturing, discussed in my last post.
When it comes to the first choice developers have for starting in mobile, Apple still leads the competition, as mobile expert Steve Cheney asserts these advancements place iOS roughly 18-24 months ahead of Android.
Alito asserts these rules cannot make the commissions illegitimate.
Mario Hernandez, general foreman of Truebuild Construction and Development, developers of what he calls "McMansions," asserts these houses "sell like hot cakes".
Harris's militancy in asserting these values seems to be largely a reaction to Islamist terrorism.
Let's be clear, again: OS is perfectly within its rights to assert these rights.
Once in control, current club leaders asserted, these candidates intended to use the environmental organization to promote anti-immigration views.
As a "white paper" distributed by the trade journal Advertising Age recently asserted, these are "all-powerful individuals".
American psychologist Jeffrey Goldstein has asserted, "These preferences develop early and appear to have biological as well as social origins.
In a number of instances, companies have attempted to assert these by-laws to block the unsupported nomination of directors by a hedge fund.
"Richard Dawkins has even set up a children's atheist summer camp," a column asserted (These atheists are cunning, 25 July, page 15, Weekend).
