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The phrase "and are further accelerated" is correct and usable in written English.
It can be used in contexts where you are describing a process or action that is being intensified or sped up in addition to something else.
Example: "The particles in the accelerator are heated and are further accelerated to achieve higher energy levels."
Alternatives: "and are additionally sped up" or "and are further hastened".
Exact(1)
Furthermore, accelerated electrons, which have a large gyroradius, are then transported outward from the diffusion region and are further accelerated around the piled-up magnetic field region because of ∇B drift and/or curvature drift under the nonadiabatic motion (Hoshino 2005).
Similar(59)
GERM, that emerged from England's Education Reform Act 1988 and was further accelerated by the No Child Left Behind and the Race to the Top reforms in the US, assumes that market mechanisms are the best vehicles for whole system improvements.
Recent studies have found that the slow release of inorganic phosphate (Pi) from the barbed end of actin filaments is linked to an increase in the rate of filament disassembly, and is further accelerated by profilin [ 38].
And now under new laws enacted in 2013, equity crowdfunding has sprung forth as the newest category of crowdfunding and is further accelerating this growth and disruption (in disclosure I'm part of this market as the CEO of equity crowdfunding platform Crowdfunder.com).
The density increase in the flare region removes then 3He by coulomb collision from the resonance process with H+-ion cyclotron waves, whereas H+ and 4He++ ions are further accelerated by X-mode waves.
Those ions are further accelerated in electric field and analyzed using mass detector [15, 67].
These changes are further accelerated by the advent of blockchain technology and are perhaps most palpable on the African continent.
These, now repelled by the positive terminal, are further accelerated through the second part of the tube.
Borrowing may only be required if seasonal fluctuations occur or if expansion plans are further accelerated.
In 2014 a host of different crowdfunding sites are further accelerating the rapid industry growth.
The combination is resulting in three self-reinforcing feedback loops, which are further accelerating the temperature rise that harms us all.
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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