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The phrase "above process" is correct and usable in written English.
It can be used to refer to a process that has been previously mentioned or described in the text.
Example: "Please follow the steps outlined in the above process to ensure a smooth implementation."
Alternatives: "previous process" or "aforementioned process".
Exact(60)
The above process has a role in bringing out sweetness, too.
Figure 4 exemplifies the above process.
The above process was repeated five times.
Repeating the above process, we obtain (29).
where we have made a transformation in the above process.
Consequently, the above process repeats in the following time instants.
The above process has always been under room temperature.
The above process would be repeated until convergence.
The above process can be denoted as follows.
The above process can be continued in the obvious way.
In the above process the inequality (4.13) is used.
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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