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The phrase "a tendency to further" is correct and usable in written English.
It can be used when discussing a propensity or inclination to promote or advance something.
Example: "The organization has a tendency to further its goals through community engagement and outreach programs."
Alternatives: "an inclination to promote" or "a propensity to advance".
Exact(4)
At the end of the simulation, about five protostars per halo are present, with a tendency to further increase.
It is well known from the experiments [21, 22] and from various theoretical and numerical calculations [23] that the energy relaxation rate in GaN is at least an order of magnitude higher than in GaAs, and it has a tendency to further increase when the electron energy increases.
Simultaneous knockdown of SNAP23 and SNAP25 exhibited a tendency to further decrease the exocytic frequency (∼2 exocytic events/cell/min) (Fig. 3D,E, supplementary material Video S4).
Under vitamin D3, although there was a tendency to further reduce the resorption activity in the presence of GS alone or CS and GS together, statistical significance was not reached.
Similar(56)
The orthodox view is that all of these purposes are relevant and that any proposed rule of criminal law must be measured by its tendency to further one or all of these goals.
If equality is prized as a means to other values, it may be the case that only equality among individuals who interact in significant ways has a tendency to promote the desired further goals.
This behaviour is undoubtedly largely due to the depletion of water with increasing concentration of acid; the hydronium ion, H3O+, is known to have a strong tendency to further hydration, probably mainly to the ion H3O+(H2O)3 (that is, H9O4+), and a decrease in water content increases the proton-donating power of the solution.
Thus, a possible tendency to further reduction in the risk of CHD by increasing birth weight may have been counterbalanced by high birth weights occurring as a consequence of maternal diabetes or its preceding stages, possibly developed during gestation.
Only EVLWI showed a slight tendency to further increase during the cooling-down phase.
Identifying subjects who carry a risk for immediate post-discharge suicide is particularly important given the current tendency to further shorten psychiatric hospitalizations.
It should constrain its tendency to further expansion beyond the present number, already at 27, but also pay careful attention to ensuring that it remains broadly representative and employs quiet diplomacy to solicit views and ideas more widely.
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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