I want to create an IF function that will show "Serviceable", "Expiring Soon", or "Expired"

The function I tried to enter is = IF ( A2 > = TODAY()+30, "Serviceable", "Expiring Soon")

This function works without issue. But if I try to enter the second IF function like

= IF ( A2 > = TODAY ( ) + 30, "Serviceable", "Expiring Soon", IF (A2 < TODAY() ,"EXPIRED")

I get the error that says I'm missing a parenthesis or I have too many arguments.

Can anyone see where I'm going wrong?