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The phrase "increasing very fast" is correct and usable in written English.
You can use this phrase to describe a situation where something is growing or developing at a rapid rate. For example, "The demand for this product has been increasing very fast."
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"The cause of this is very well known – the country does not have sufficient power and on top of this demand is increasing very fast.
In the recent time, the verities of material are increasing very fast with various properties, which make material selection process complicated.
Automotive sector is one of the few sectors where CO2 emissions are still increasing very fast, reaching a level by 26% in total only from road transport.
With the development of the economy, the demand for energy in hot summer and cold winter zone in China is increasing very fast while the energy supply is going short.
The only limitation here is that data on genome editing is increasing very fast as evident from recent literature; therefore, it is necessary to keep the database up to date.
Similar(55)
At high salt concentration, viscosity increases very fast with the increasing of the volume fraction.
Its complexity increases very fast if the dimension of the signal and observation systems increases.
Figure 11 shows the number of vehicles affected by a real traffic event increases very fast.
This reveals that rate of decomposition of MB increases very fast with time.
Distributed generation including wind turbine (WT) and photovoltaic panel increased very fast in recent years around the world, challenging the conventional way of probabilistic load flow (PLF) calculation.
As seen from Figure 5, the short circuit current density (Jsc) increases very fast at early spraying stage and keeps almost constant after 360-s spraying.
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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