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The phrase "are supposed to proceed" is correct and usable in written English.
It can be used to indicate an expectation or obligation to move forward with a particular action or process.
Example: "The team members are supposed to proceed with the project as planned, despite the challenges they face."
Alternatives: "are expected to continue" or "should move forward".
Exact(3)
These species are supposed to proceed via SiMe3+ ion rearrangement process.
But it is doubtful that Customs and Border Protection officers will have a clear idea anytime soon about how they are supposed to proceed, given the contradictory statements by the Trump Administration.
We argue below that it represents the aggregated wealth of the two traders, who are members of the same bank trading desk, and who are supposed to proceed as follows: The first trader takes the long position in a contract ((A,mathcal {X})), whereas the second one takes the short position in the same contract, so that his position is formally represented by ((-A, mathcal {Y})).
Similar(57)
Testing such competing hypotheses is how science is supposed to proceed.
Surely this wasn't the way psychoanalysis was supposed to proceed.
It's supposed to proceed from a more generous instinct than that".
He didn't know that duels with Philistines were supposed to proceed formally, with the crossing of swords.
The polymerization of 3-ethoxycarbonyl-tricyclo[3.2.1.02,4]oct-6-ene 1 is supposed to proceed through a simultaneous ring opening ring closing mechanism.
The trial was supposed to proceed to jury selection on Monday, but the defense asked for an extra week to draft new motions.
Transcendental argument, in philosophy, a form of argument that is supposed to proceed from a fact to the necessary conditions of its possibility.
The N-CNF growth over a catalyst particle was supposed to proceed via the formation of an oversaturated solid solution of carbon and nitrogen in a nickel-enriched alloy "NiCuxCyNz".
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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