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"in lack thereof" is a correct and usable phrase in written English.
It means "in the absence or deficiency of that thing or matter." Example: "The defendant failed to provide any solid evidence to support his claims, and in lack thereof, the judge ruled in favor of the prosecution."
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Like many of his songs, the magnetism of "Thinking About You" lies not in the details, but in the lack thereof".
The protection of integrity, as described in our study, was clearly linked to trust in self and lack thereof in others.
This finding, not predicted by emission scenarios, suggests effective SO2 control in China and lack thereof in India.
The branching morphology present in 10A L2 cells in 2D culture and lack thereof in the 3D culture suggests that further signals, such as ErbB3 activation reported by Aceto et al. [ 48], may be required for the 3D branching to occur.
He angered club members by the style — or in their eyes, the lack thereof — in how he sought to substitute winning with flamboyance with winning by any means necessary as the Real way.
Thus, such correlations merely reflect the two end-member situations: high U in the granites and lack thereof in other rocks.
PEL and MCD are both lymphoproliferative disorders; however, their treatment varies due to expression of B-cell antigens in MCD and the lack thereof in PEL.
Using a simple detection task with meaningless stimuli across all three groups, we were able to reveal that it is visual dominance that drives (1) enhanced multisensory benefits in healthy aging, and (2) lack thereof in abnormal aging.
Since the Target and Sony hacks, I have been interested in marketing's role (or lack thereof) in preparing for and managing the consequences of data breaches.
In fact, Grosseteste explains the eternal powers of propositions in terms of God's eternal powers to know and will propositions, effectively grounding non-temporal modality in God's powers or lack thereof (in the case of necessity and impossibility).
Safranin O staining demonstrated degeneration in OA cartilage, and the lack thereof in normal cartilage.
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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