Does a domain's history affect the page's rank in search engines like Google?
What effect does a domain's history have on Google’s trust? Can it be helpful to purchase domain which was very successful in the past but was sold because of privacy issues or whatever? Can I benefit from a domain name's history? On the other hand might this not be risky? If I purchase a domain name with a bad history will I get also in trouble with traffic and ranking possibility?
Yes this happens and it is not possible to avoid it
If you purchase a domain, then its history can affect your website. As such, if links are pointing to the domain but Google fails to show it after seven months, it could be an indication that there is something wrong. This demonstrates the importance of doing some research on the domain that you intend to buy. You can also visit archive.org to find out how the domain was used in the past.