The phrase "a process that seemed" is correct and usable in written English.
You can use it when describing a process that appeared to be a certain way, often in a subjective or interpretive context.
Example: "The project was challenging, and it was a process that seemed to take forever to complete."
Alternatives: "a process that appeared" or "a process that looked".
The opportunity to study PcG proteins appealed to Francis because they were the only clear example of proteins involved in maintaining transient transcriptional regulatory events—a process that seemed likely to be central to the choice and maintenance of cellular identities.
The contract was approved at the same time the board was working on revising its corporate governance, also under pressure from the S.E.C., a process that seemed likely to lead to disclosures of Mr. Grasso's pay.
"It looked too simple," Daniel remarks, "and it didn't seem to fully take advantage of the accuracy of the laser cutter". He researched more, finding a company that made wooden maps, but the company used a process that seemed to waste time and materials.
Inspired by Jasper Johns's American-flag paintings, he was using cheap household enamel to apply roughly brushed colored stripes on large canvases — a process that seemed "lunatic" to Andre "because my idea of art was still related to some kind of abstraction from something outside art, and these referred to nothing but art".
When he was elected last year, President Goodluck Jonathan promised to make electricity reform his big thing, hoping to transform the lives of millions of Nigerians who have spent decades in the dark.But the resignation of his power minister on August 28th over a conflict of interest has exposed the rot in a process that seemed to be running relatively smoothly.
According to the second law of thermodynamics, the entropy of a closed system always stays the same or increases, and Dr. Hawking's own work had shown that the hole's surface area always increased, a process that seemed to ape that law.
