Please Sir, Have you advertised any post? I'd like to hear your response because there's an advertisment of Apple Store Anchorage on facebook, so I wonder if it's real or fake

Yes

Yes, there is one

Yes, there is one. I was there in July 2018. Here you have some data: https://www.apple.com/retail/anchorage5thavenuemall/?cid=aos-us-seo-maps

There is an Apple store in the 5th Ave Mall in Anchorage based on my visit in late July, 2018!