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'which thus needs' is correct and usable in written English.
You can use it when you are referring to a previous phrase or statement, to express the need for a particular thing or action arising from that phrase or statement. For example: "This situation calls for swift action, which thus needs courage and conviction".
Exact(2)
The primary damage depends strongly on the cohesive model chosen, which thus needs to be carefully adjusted.
Furthermore, it is shown that the optimal geometry depends on the flow rate, which thus needs to be taken into account in the design of microchannel plates.
Similar(58)
We also show that braking or tactical waiting behaviors of drivers would cause a loss of efficiency, which thus need be proactively accommodated.
Intuitively, RWIS stations should be installed in areas that experience severe yet, less-predictable weather patterns, which thus need real-time monitoring the most.
Transcription activation domains are absent in p50 and p52 which thus need to form heterodimers in order to transactivate target genes.
Running for reelection in 1948, Nixon entered and won both the Democratic and Republican primaries, which thus eliminated the need to participate in the general election.
However, it describes the negative consequences of experiencing domestic violence, which thus creates the need to cope.
It was found that the unit with the lowest perceived need was one of the units in the Hi group; this unit was excluded from further analysis, leaving three units in group Hi, which thus was homogeneous regarding perceived need (p = 0.481).
All these issues have to be modeled and explicitly provided to a generative specification procedure, which may thus need a large amount of input data.
The lack of induction of P450 gene expression as a result of permethrin treatment at lower doses (LD10) in ALHF house flies found in this study is probably due to their rapid metabolism of permethrin at lower doses, which thus never reaches the threshold dose needed for induction [ 43].
The implementation of D-Capon and D-MUSICAL thus needs preprocessing, which is detailed in the following Sections "Smoothing issue" and "Diagonal loading and estimation of L".
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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