Not getting your question exactly but if you are asking that if you have a live website then it can be indexed by search engines or not, then I will say yes. If your website is having good and fresh content along with good design then surely your website will get indexed by search engine, but if you want to achieve top rankings in SERP's then you have to go for SEO services or you can also hire an SEO experts to perform SEO activities on your website.
I hope my reply will be helpful for you.
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