Sandbox is all about trust.
Search engines do not trust you yet, so they do not rank you.
Aged domains often bypass it or have a shorter one because they already have past trust/authority that just needs to be restored.
Getting viral or running tons of ads is the most effective way to avoid sand-box I've seen.
You get traffic from all sources which then results in organic traffic and branded searches. That's one trust signal. Natural backlinks from trusted website will follow which is another signal. The fact that website went viral will also increase trustworthiness of the content probably, making it benchmark other websites are compared to when it comes to mentioned facts etc.
Hitting all three major trust signals at once. Traffic, links, content.