The phrase "appears to proceed" is correct and usable in written English.
It can be used when describing an action or process that seems to be moving forward or continuing in a particular direction.
Example: "The investigation appears to proceed smoothly, with no major obstacles reported."
Alternatives: "seems to continue" or "looks to advance".
Iran's nuclear programme appears to proceed independent even of the organs of its own state.
Transformation of CaSO4 to CaS and vice versa appears to proceed via CaO.
Precipitation of AlO(OH)(s) appears to proceed rapidly and is limited by the rate of illite dissolution in our experiments.
The lordosis behavior itself appears to proceed ballistically once initiated, but negative and positive hormonal feedback relations are evident in its endocrine controls.
Moreover, the lethality brought about by such stalled replication forks in the wild-type derivatives appears to proceed through the toxin/antitoxin pairs mazEF and relBE.
Following the shock of a disastrous election or a Presidential tweet the sun rises again in the morning, and life appears to proceed as before.
On the surface, the funeral appeared to proceed with the precision of totalitarian choreography.
These ROMPs appeared to proceed in part in the solid phase, i.e. were examples of solid state polymerization.
The local and regional twisting and untwisting do not appear to proceed in a concerted fashion, resembling more of a "wringing-type" behavior rather than a rotation.
These enzymes constitute what some call the classical NHEJ pathway, and in wild type cells, the vast majority of joining events appear to proceed using these components.
Self-processing of the cassette appeared to proceed efficiently in cells: The only region of the cassette identified in cells was the liberated dITRz, with approximately 10 20% of the dITRz found within the nucleus.
