"both of these examples" is correct and usable in written English.
You can use it when contrasting two examples in a sentence, for example: "Both of these examples illustrate how important it is to take care of the environment."
Both of these examples illustrate how easily brands' conversations with customers can get out of hand.
Both of these examples demonstrate that confirmation bias has implications for individuals' health and well-being.
Indeed, both of these examples demonstrate that citizens found ways to force the government to reconsider expert-produced plans.
Unlike both of these examples, there have been no physically destructive acts against Mozilla, only the peaceful tools of pressure.
Significantly, both of these examples are of contemporary designers, who are more comfortable with technology than fashion people are.
In both of these examples, a coherent, BEC-based atomic beam would improve precision massively.That would be good.
Both of these examples of high-handed behavior suggests that the kind of irascibility in which a free society is rooted has not yet entirely vanished.
Both of these examples serve to illustrate Guardian art critic Jonathan Jones' argument in 2012 that the bricks can be the building blocks of imagination.
Both of these examples are a precursor to something much bigger: the rise of women in the tech industry as a whole.
In both of these examples, the scientists had a socially-responsible motive for creating a GMO (see Fig. 1 and below).
In my view, both of these examples and many more continue to warrant analysis and investigation, even if we ought at times to be critical of their purposes and strategies.
