Is there is dog saliva on socks, and then they are washed in a washing machine, is the washing machine impure? And if the socks are worn after they are washed, while the person's feet are wet, is the impurity transferred to the person?

They are washed outside seven times, and then you can put them in the washing machine with the other clothes. Keep in mind that the first wash is with soap. It seems to me that this question has come from somebody that might suffer from waswas; therefore, we should not give it much attention. Remember that the asal is purity (the asl is taharah) and we should not dive deep or dig deep when it comes to these matters, as the scholars said, because it opens the door for waswas or increases it.