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The phrase "are executed in parallel" is correct and usable in written English.
It can be used in contexts related to computing, programming, or processes where multiple tasks are performed simultaneously.
Example: "In this algorithm, the calculations are executed in parallel to improve efficiency and reduce processing time."
Alternatives: "are performed concurrently" or "are carried out simultaneously."
Exact(36)
Next, all data sources are executed in parallel.
Threads are executed in parallel, in groups of 32 consecutive threads, called warps.
Instructions issued from multiple threads are executed in parallel each cycle.
More specifically, a bank of Kalman filters corresponding to different fault modes are executed in parallel.
This continuous operation is possible since TPM commands are executed in parallel to the main processor.
When variants are executed in parallel, there is also a synchronisation time overhead.
Similar(24)
VLIW platforms allow several heterogeneous operations to be executed in parallel, due to multiple execution units in their architecture, achieving high computation capability (Fig. 5).
In-order execution constrains the set of instructions that can be executed in parallel so a less sophisticated decode stage is sufficient to feed the execution stage.
The solutions by Gotze et al. ([2008]), Townend et al. ([2005]) supports execution of variants; however, they do not specify how variants might be executed in parallel, sequentially or both.
Each thread is executed in parallel on different CPU cores.
This step is executed in parallel at each site.
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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