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The phrase "a more complex case" is correct and usable in written English.
You can use it when discussing a situation or issue that involves multiple factors or is not straightforward.
Example: "In contrast to the previous examples, this is a more complex case that requires careful analysis."
Alternatives: "a more intricate situation" or "a more complicated scenario".
Exact(35)
Mr Obama's lawyers presented a more complex case.
Whether occurring alone or as part of a more complex case of decompression sickness, this respiratory pattern constitutes an acute emergency.
In a second part, a more complex case is studied.
Now comes a more complex case: that of the smart electricity grid.
A more complex case representing transmission between non-contiguous cavities in a shipbuilding structure will be also presented.
It will be necessary to set up a micro-simulation in investigating a more complex case in future work.
Similar(25)
A more complex example is the case of the flute, in which the "sounding object" is air inside the flute.
But Mr. Adam, who declined to be interviewed for this article, has a much more complex case to sum up for a jury than he did in the R. Kelly closing statement.
For the present work, Eq. (1), with the intercept α retained, will be used for model-assisted estimation as it is both simple and commonly used; in a forest inventory context, Mandallaz (2013) employed a rather more complex case of model-assisted estimation where the intercept was retained also.
It is a far more complex case than Libya, and there is no international support for it.
And he should say that while there will be no military action — Syria is a far more complex case than Libya Washingtonon is determined to work with the European Union, Turkey and the Arab League to force Mr. Assad and his cronies to pay a high price for their abuses.
More suggestions(15)
a more complex set
a more upbeat case
a more substantive case
a more concrete case
a more positive case
a more urgent case
a more difficult case
a more heinous case
a more compelling case
a more complex reality
a more typical case
a more general case
a more complex matter
a more complex person
a more complex interaction
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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