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"for these purpose" is a correct and usable phrase in written English.
You can use it to refer to a specific goal or reason for doing something. For example, "We developed this project for these purpose: to increase efficiency and reduce costs."
Exact(8)
For these purpose, we constructed two plasmids pSimD4script and pUWLsimReg1 (Table 1).
For these purpose, this paper presents an in situ calibrated null test method.
For these purpose, we developed a design procedure of the impedance transformer for HAS antennas.
For these purpose, K-Ar age dating method was introduced in early 50s and had provided age information related to various studies, such as the geomagnetic polarity timescale, one of the essential foundations of plate tectonic concepts (McDougall, 2014).
For these purpose two types of ANN based applications have been developed: one for predicting the antioxidant activity and a second one for establishing the class of the teas.
For these purpose, DGT were deployed in ten calcareous soils for different time periods between 4 h and 21 days and the accumulated P were used to calculate the distribution coefficient for labile metal, Kdl, desorption rate constants (k− 1) and the rate at which the soil system can resupply P from solid phase to solution (Tc) using the DIFS model.
Similar(51)
Art is not a product for these purposes.
Four-year-olds are useful for these purposes.
Every crasher knows that smoking is, for these purposes, cool.
For these purposes, leave alone who is right.
Yet testing is inadequate for these purposes as well.
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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