The phrase "and hence the level" is correct and usable in written English.
It can be used to indicate a conclusion or result that follows logically from the preceding information, often in academic or formal writing.
Example: "The data indicates a significant increase in productivity, and hence the level of employee satisfaction has also risen."
Alternatives: "therefore the level" or "thus the level".
The optimization variables are the congestion toll, the transit fare (and hence the level of subsidies) and transit frequency.
In fact, even if more data become available, then they are avoided when estimating local upper bounds, and hence, the level of uncertainty is considerably decreased.
In the primary healthcare sector, income substantially influences the funding of the statutory health insurance scheme, and hence the level of insurance benefits offered.
The MMC model has two main model constants; Cϕ which has a strong effect on the unconditional statistics and rt which controls the localness in mixture fraction space and hence the level of conditional fluctuations.
On the other hand, cell death can cause a reduction of total population density and hence the level of AHL production, which in turn allows the population to recover after killing.
Polar coronal holes indicate the strength of the polar field and hence the level of solar activity in the following cycle (Gopalswamy et al. 2012a; Selhorst et al. 2011; Shibasaki 2013; Mordvinov and Yazev 2014; Altrock 2014).
By implementing such a movement the bundle (x^{b}_{1}) would become closer to (x^{g}_{1}), and hence the levels of regret would converge to the same value even before the bundles became identical.
Deletion of TGL3 slows down the mobilization of neutral lipids and hence the levels of FFA released from lipid bodies.
This adds to previous concerns regarding the specificity of ELISA kits used for measurement of 8-oxodG and hence the levels of 8-oxodG reported in saliva [30].
We take a similar approach to the network model of Andorf et al. [ 5, 19, 20] in that our phenotype (and hence the levels of heterosis) are directly related to the networks' topologies.
Due to the potential effect of estrogens on thyroxin binding globulin (TBG) concentration, and hence the levels of T3, an additional analysis was executed excluding women treated with HRT or OC.
