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The phrase "and hence it will" is correct and usable in written English.
It can be used to indicate a conclusion or result that follows logically from a previous statement.
Example: "The project has received additional funding, and hence it will be completed ahead of schedule."
Alternatives: "therefore it will" or "as a result, it will".
Exact(18)
It is shown that such a configuration will have an effect of torque multiplication and hence, it will reduce the dynamic range of actuation signal.
If however the solution realized in nature is such that Δm2sol≳2×10−4 eV2 (thereafter named the HLMA region), KamLAND will only observe a rate suppression but no spectral distortion and hence it will not have the optimal sensitivity to measure the mixing parameters.
And hence, it will be difficult or impossible to detect T-A by S1.
As the CR users increase in number, this factor gets increase and hence it will decrease the overall SIR ratio.
Similarly, the Sumudu transform sends combinations C ( m, n ) into permutations P ( m, n ), and hence it will be useful in the discrete systems.
You're creating a much larger surface area for the star's energy to escape from, and hence it will radiate at a much lower temperature, while still outputting the same total energy.
Similar(42)
The proof of (4.10) and (4.11) is similar, hence it will be omitted.
In rural geography of Ghana and other developing countries, accessibility could be greatly affected by the level of development of infrastructure and availability of ambulatory services, hence it will also be important to consider travel time as an important factor in determining the establishment of facilities.
The problem of undernourishment will tend to become smaller in terms of both absolute numbers affected and, even more, in relative terms, hence it will become more tractable through policy interventions, both national and international.
Unique observations of comets will be provided in the near future by the METIS coronagraph on board the Solar Orbiter mission: METIS will simultaneously observe the corona in WL and in UV (Hi Lyman-α), hence it will be a unique instrument capable of studying at the same time the transiting comets and the solar corona.
In contrast to all previous proposals, GREENIE can intelligently distinguish between the existing link between two devices including mobile-mesh-node ↔ static-node, static-node ↔ MR, and mobile-mesh-node ↔ MR. Hence, it will select the most stable path including as many as possible static nodes.
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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