The phrase "proceeds in parallel" is grammatically correct and can be used in written English.
You can use this phrase when describing two or more things that are happening simultaneously or in correspondence with each other. It indicates that the actions or events are occurring at the same time and are closely connected. Example: "The two projects are proceeding in parallel, with each team working closely together and sharing progress updates regularly."
The onslaught on such religion- based organisations as the MCB proceeds in parallel with attempts to weaken anti-racism groups and organisations.
Safety analyses proceeds in parallel with the design and with the interactions between the two activities.
The results suggest a fast direct hydrogen absorption mechanism that proceeds in parallel with slower hydrogen adsorption and indirect absorption.
The radical anion formed during the first step of reduction undergoes rapid decomposition which proceeds in parallel to the second step of electroreduction.
The LOX inhibitory activity of the compound 14e proceeds in parallel to the % inhibitory value of lipid peroxidation meaning that this LOX inhibitory activity is supported by the lipid peroxidation inhibition.
Although IGF-1 receptors have been identified in mandibular condyle and local production of IGF-1 proceeds in parallel to availability to IGF-1 receptors, role of osteocalcin status in growth regulation of mandibular condyle is still to be authenticated with evidence [45, 46].
His work and the disarmament negotiations, he said, are to proceed "in parallel tracks".
The search for the missing and the search for the dead proceeded in parallel all day.
Thus realist revelation and postmodern speculation proceed in parallel, like the very railway tracks the primal Rajesh supervises.
The commission's campaign to eliminate golden shares is proceeding in parallel with the latest effort by the commission to draft a Europe-wide law on takeovers.
Mass production of three vaccine candidates will now proceed in parallel with trials, so that if results are promising, hundreds of thousands of doses could be deployed in the first half of 2015.
