To solve this expression, we first need to simplify it step by step.

log3 135 = log3 (3^3 * 5) = log3 3^3 + log3 5 = 3 + log3 5

We can rewrite the expression as: 3 + log3 5 - log3 5 + (625^log5 2)

Since log3 5 - log3 5 = 0, the expression simplifies to: 3 + (625^log5 2)

Next, we simplify the term (625^log5 2) by using the property of logarithms: a^loga x = x

Therefore, the final simplified expression is: 3 + 2 = 5.

So, log3 135 - log3 5 + 625^log5 2 = 5.