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The phrase "an evident instance" is correct and usable in written English.
It can be used to refer to a clear or obvious example of something in various contexts, such as academic writing or analytical discussions.
Example: "The sudden increase in temperature is an evident instance of climate change affecting our environment."
Alternatives: "a clear example" or "an obvious case".
Exact(1)
One begins by granting the basic dilemma, as an evident instance of LEM: either God is omnipotent or God is not omnipotent.
Similar(59)
Above, we aimed to provide the most accurate and evident instances of NAMs that generate and destroy phosphorylation sites and achieved this through integration of exome-sequencing and MS experimental data following stringent selection criteria (Experimental Procedures).
We find that the extreme wind speeds of different return periods exhibit an evident enhancement trend, for instance, the extreme wind speeds with different return periods by non-stationary model are 4.1%4.4%% higher than stationary ones in SCS.
It's an evident labour of love, but for an outsider, someone not as obsessed with the intricacies of – for instance – tacky high-school conspiracy thriller Disturbing Behaviour, Lyne's sincerity can feel alienating.
So does an evident confusion.
In standard GLM group analyses, a similar phenomenon is evident, for instance, when one or more derivatives are included in the model.
However, differences of great relevance also became evident, for instance on the attitude towards subjectivity and intersubjectivity, as well as for what concerns the relationship with the audience and the format of the results.
It is precisely Clinton's current ease — evident, for instance, in her playful participation in the "Texts From Hillary" Internet spoof — that leads some of her more protective confidants to believe that she will not, and should not, seek the presidency again.
This is said to be evident (for instance) in job interviews.
This distribution of fatty acids is evident, for instance, in the chromatograms from the bulk of the discoloured area of Sant'Eligio and from the Madonna della Rosa (Figure 8b and c).
As is particularly evident, for instance, in Natorp (1911, 26 67), for the Marburg Neo-Kantians whatever we might be tempted to consider a pure given or a raw datum of experience can be analyzed into an underlying thought-process, whereby the given is actually constructed according to a conceptually articulable (i.e., logical) pattern.
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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