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The phrase "examples exemplify" is correct and usable in written English.
You can use this phrase to introduce a statement that provides specific examples to illustrate a more general point. For example: "Examples exemplify the importance of clear communication in the workplace. For instance, managers who provide clear instructions lead to fewer misunderstandings and improved employee morale."
Exact(6)
These four examples exemplify the tension and turmoil that is rapidly perpetuating itself throughout the workplace, making it difficult to 1) build high-performance teams, 2) sustain momentum, and 3) create distinct competitive advantage.
Two recent examples exemplify this troublesome trend.
All of the agents in our game theoretic examples exemplify this simple case of decision over a single criterion based ordinal ranking under certainty, but with the added complication that outcomes depend on the choices of other agents (see below).
These examples exemplify dynamic diabetes-infection interactions.
These examples exemplify that more studies now require gathering, not just previously published data in order to stay up-to-date, but also, data collection for further analysis.
All of these examples exemplify two points; that the ubiquitin machinery is important to pathogenic virulence and the degree of cross-talk between pathogen and host at the level of ubiquitin and Ubl proteins is extensive.
Similar(54)
Similar examples exemplifying the structures given in 1 and 2 are attested as early as Old High German (750 1050) (examples adapted from Axel-Tober, this issue).
Attenborough, for example, exemplified public-service BBC, producing great swaths of television in a distinguished career.
This example exemplifies the need for innovative numerical algorithms to solve problems involving stiff geochemical reactions.
The second scenario has been illustrated in 78; the following example exemplifies the first scenario.
Although similar discussions could be advanced for the other microstructures shown in Figure 1, the SOFC example exemplifies the problem addressed in the present paper.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com