The phrase "asserts also" is correct and usable in written English.
It can be used when you want to indicate that someone is making an additional assertion or claim in conjunction with a previous statement.
Example: "The researcher asserts also that the findings support the hypothesis."
Alternatives: "also claims" or "further asserts".
The "dream deferred" is not only that of a nation which is still struggling to close the gaps between black and white, and rich and poor, but, as the author asserts, also Mr Mbeki's own.
The resolution further asserts, also without any evidence, that there is a great risk that Iraq could launch a surprise attack on the United States with weapons of mass destruction.
Microsoft's integrated design approach, the report asserts, also serves to strengthen the company's monopoly power, by locking consumers into a bundle of Microsoft products that work best together and excluding rival offerings.
He asserts that within the walls of a courtroom, all men are equal -- but asserts also that "some people are smarter than others some men make more money than others, some ladies make better cakes than other".
NATO, he asserted, also made it easier for European nations and the United States to work together in Afghanistan.
The term Palestine has been associated variously and sometimes controversially with this small region, which some have asserted also includes Jordan.
The move to science, the empiricists assert, also has given the field a base from which to evaluate and discredit fringe therapies or those that promise instant healing.
General Franks's command, the study asserted, also assumed that Iraq's police and civil bureaucracy would stay on the job and had no fallback option in case that expectation proved wrong.
McRae went on to assert (also citing "common knowledge") that "contrary to news media propagandas here in the United States, US Senator Barack Hussein Obama is a Muslim and not a Christian" -- a discredited claim.
To compound this restriction, Kant also asserts that we also can have no "cognition" [Erkenntnis] of objects outside the scope of experience.
He also asserts that, "It's also not seen as a positive development among voters, who regularly complain that the campaign stretches on for too long".
