Ruby, 53 bytes
--------------

 f=->(a,b){/^(2|too?|t0|two)$/i=~a&&/^be{,2}|b3$/i=~b}

I'll be honest, this is my first attempt at trying to golf a problem.

Function call in the form of `f.call(firstValue, secondValue)`

`0` is Truthy, `nil` is Falsy.

Test it [Here][1]


 [1]: https://repl.it/BlrV/0