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Hello I try to learn seo and find out this kind of problem. I have new domain it is registered 3 month ago and have different domain which register 3 years ago. One website is indexed and new website is not indexed. New domain have more backlinks and ahrefs authority. Doe domain age and domain expire time give any points to fast indexing and ranking ?

I have a website with not so big amount of backlinks and PA 16 DA 6. I try to search it in semrush and its do not show me any result for it. But I have different website with DA 18 and PA 9 and it is indexed in google. It is have 4 keyword not so well but at least it is indexed and I can begin to bring backlinks and blogs and it will grow up. What can be problem about this website. I do not give website link here to avoid problem. But i can send link in private. But what you can recommend to me to do to make this website show up in google.