If this is the case, then the English sentence does not convey this meaning. "The vote is legal" can either mean "The vote (of the single individual) is legal/valid" or it can mean "the election is valid." But this English sentence (The vote is legal) does NOT convey to an English speaker that "the vote is part of a legal procedure."
By the way, I still don't full understand what you mean by a "legal vote" and a "procedure." In law, the word "procedure" has a very specific meaning, which I do not fully understand. You probably have to be a lawyer to really understand it, but to a lay person, it means something like a process or proceeding. In other words, it sounds like you're saying this vote is part of a court case. I don't think that is what this is saying in Greek, but is it?
Seriously, what does this mean?