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The phrase "and consequently the efficiency" is correct and usable in written English.
It can be used to indicate that one thing leads to another, specifically in the context of discussing the impact on efficiency.
Example: "The new process reduces waste, and consequently the efficiency of our operations has improved significantly."
Alternatives: "and thus the efficiency" or "therefore the efficiency".
Exact(11)
Dense screen loading improved the classification rates, but hampered flowability, and consequently the efficiency.
Fish response to stimuli (signals) encountered, and consequently the efficiency of these behavioural devices, can be highly variable.
Increasing the initial concentration of the dye provides more dye molecules in contact with oxidant species and consequently, the efficiency of the removal process increases.
At these thicknesses, there is a reduction in the electrode transparency and consequently the efficiency of the devices due to the limited transparency of the conductive materials [18].
Additional evidence of the formation of 1O2 was obtained by addition of deuterated water in the reaction medium, which increase its lifetime (Kim et al. 2016) and, consequently, the efficiency of the reaction (Fig. 3).
Starting from the experimental results a parametric analysis was performed in order determine the basic parameters of the gas extraction process and consequently the efficiency of this technology in different operative conditions.
Similar(49)
More than a century ago, the Army's first contract dental surgeon, John Sayre Marshall, remarked, "Good, or at least serviceable, teeth are very necessary as a means of maintaining the general health, and consequently the highest efficiency of the Army".
The steam quality and consequently the nominal efficiency of the plant are thus maintained.
The conventional relaying requires four time slots to exchange information between the users, and, consequently, the spectrum efficiency is low.
The whole area of the active medium cross-section can be used, and consequently the laser efficiency will be increased.
The aggregation technique leads to increasing the filling ratio of an optical packet, and consequently, the bandwidth efficiency of an optical network.
More suggestions(15)
and consequently the efficacy
and consequently the management
and thus the efficiency
and consequently the success
and consequently the performance
and consequently the economy
and hence the efficiency
and consequently the safety
and subsequently the efficiency
and raising the efficiency
and consequently the works
and so the efficiency
and consequently the data
and consequently the benefits
and consequently the solution
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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