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The phrase "develops as follows" is correct and usable in written English.
It is typically used to introduce a list or sequence of events, ideas, or actions. Here is an example of how it can be used: "The business plan for our new project develops as follows: first, we will conduct market research to identify our target audience; then, we will design a marketing strategy; finally, we will launch our product to the market." In this example, "develops as follows" is used to introduce the steps that will be taken in the process of creating a business plan.
Exact(3)
The further paper develops as follows.
For avalanching in the streamwise direction at site (i, j), the topographic height at (i, j) develops as follows: hleft i,jright to hleft i,jright -{q}_a;mathrm{and}kern0.5em hleft(i+1,jright -{q}_aft(i+1,jright)+{q}_a, (4)where q a is the numathrm{and}kern0.5emove by avalanchleftduri+1 one time step.
The macromolecular architecture of the vertebrate egg envelope develops as follows.
Similar(57)
A model of interferon evolution can be developed as follows (also see [20], [23]).
If Line 4 is tripped because of failure and operators failed to take any measures, system state will develop as follow.
Having following assumptions considered, a mixed-integer programming is developed as follows.
With the linear model of breast cancer development, it is accepted that a breast lesion will develop as follows: ADH to DCIS to IDC.
The algorithm is as follows: Suppose the present best tour is (1 = β0, β1, β2,…, βn−1), then the local search algorithm can be developed as follows: Step 1: For i = 1 to n − 2, do the following steps.
Hence, the sciences developed as follows: from mathematics, astronomy, physics, and chemistry to biology and finally to sociology.
The rest of the paper is developed as follows.
A large-sized problem is developed as follows.
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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