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The phrase "are the only processes" is correct and usable in written English.
It can be used when specifying that a particular set of processes is unique or exclusive in a given context.
Example: "These methods are the only processes that ensure accurate results in our experiments."
Alternatives: "represent the sole processes" or "constitute the exclusive processes".
Exact(3)
In addition, and for the high care/risk area, sanitation practices are the only processes that can control microbial cross-contamination within food processing areas.
Autotrophic behaviour depends on the ability of the cell to carry out photosynthetic or aerobic respiratory metabolism, which are the only processes able to deliver sufficient energy to maintain carbon fixation.
They found that the current rate of sedimentation in the estuary as a whole is approximately 1mm per year about the same rate as sea level rise, which, together with scouring or dredging are the only processes that are providing space for new sediment in much of the estuary.
Similar(57)
However, the inversion score is calculated under the assumption that inversions are the only process underlying mitochondrial genome rearrangements, which is unlikely to be true.
If these were the only processes of evolutionary change, the organization of living things would gradually disintegrate.
However, considering that periostin is expected to be a multifunctional protein, collagen fibrillogenesis or integrin signaling might not be the only processes in which periostin is involved.
Defense response (GO 0006952, FDR = 0.047) and chitin metabolism (GO 0006030, FDR = 0.032) were the only processes significantly enriched at a more stringent level (FDR < 0.05).
Anodic dissolution was found to be the only process throughout.
"But [an appeal] may be the only process left available to us".
Pyrolysis is currently considered to be the only process that is available on an industrial scale.
Water erosion would hence not be the only process generating erosion within this catchment.
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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