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The phrase "as this example illustrates" is correct and usable in written English.
You can use it to refer to a specific example that clarifies or supports a point you are making.
Example: "The theory of relativity can be complex, as this example illustrates: when an object approaches the speed of light, time appears to slow down for that object."
Alternatives: "as demonstrated by this example" or "as shown in this example".
Exact(15)
It allows the police, as this example illustrates, to accuse someone of a crime in advance of arrest, charge and trial.
But as this example illustrates, a bauble's size, by itself, does not determine value.
Yet few philosophers would hold that claims about property rights or monetary value are non-truth-evaluable.[2] As this example illustrates, conventionalism need not reflect an "anti-realist" or "deflationary" stance towards some subject matter.
As this example illustrates, part of the heuristic usefulness of a manipulability theory is that encourages us to clarify or disambiguate causal claims by explicitly distinguishing among different possible claims about the outcomes of hypothetical experiments that might be associated with them.
Notice that the professor's sentence needn't include some implicit ceteris-paribus clause in order for his utterance to be true; as this example illustrates, in ordinary conversations, plain old strict generalization sentences are not always used to cover the full range of actual cases.
As this example illustrates, many of the more recent developments in belief change show a need to go beyond the expressive power of the AGM model, but that model is still the standard model to which all other models of belief change are compared.
Similar(43)
As such, this example illustrates the importance of carrying out prognostic, as well as diagnostic, assessments as part of the process of risk governance.
In addition to extensibility, this example illustrates flexibility, as it is possible to choose any of the available behaviours for a new agent type.
In particular, this example illustrates that as the angular spread of the backscattering increases, more transmit degrees of freedom must be sacrificed in order to sufficiently suppress self-interference at the base station.
As this example illustrated, measurement practices in improvement projects not only endorse faculty's problematisation but also carry (subtle) assumptions about who should be able and who has the obligation to do something about the problem.
As the example illustrates, tissue samples can be pooled but the design needs to estimate the variation among experimental units (pools in this example).
More suggestions(1)
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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