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The phrase "a continuation which" is correct and usable in written English.
It can be used when referring to something that follows or extends a previous idea or statement.
Example: "The report includes a continuation which elaborates on the findings from the previous study."
Alternatives: "an extension that" or "a follow-up that".
Exact(1)
Here's the follow-up to 2012's SFX whimsy-cake Snow White and the Huntsman, bookending that film's narrative with both a backstory and a continuation – which makes it, I suppose, a "sprequel".
Similar(59)
Wrath wasn't an objectively terrible episode, but it doesn't feeling like either a beginning or an end, merely a beige continuation which leaves things fairly close to how it found them.
The resulting governing non-linear equations (non-autonomous fourth-order ordinary differential nonlinear equations with integral conditions) are then solved by introducing a continuation algorithm, which offers considerable advantages to detect multiple bifurcations and trace a complex post-buckling path.
Corrections like that of Caterpillar are classified as a continuation pattern which is a pause in the prior trend.
Similar protests and rallies in 100 cities across the country drew other celebrities, which was a continuation of the outrage which poured out on Twitter after the jury's verdict.
This is a continuation of [23], which investigated the first eigenvalues of minimal isoparametric hypersurfaces with g= 4 distinct principal curvatures and focal submanifolds in unit spheres.
This paper can be considered as a continuation of [27], which was inspired by [26].
Evan Nicole Bell's latest exhibit, "Faith in Color," is a continuation of "black". which explores the deep roots of religion in black communities.
I think it's a continuation of Woodstock, which started it all.
The 2011 EDHS acts as a continuation survey on which subsequent surveys will be built.
Rarely is there a continuation of care, which is aimed at screening for and treating this debilitating disease.
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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