Greetings,2009 IRC here. section
M1502.4.4 Duct length. The maximum allowable exhaust duct length shall be determined by one of the methods specified in Section M1502.4.4.1 or M1502.4.4.2.
M1502.4.4.1 Specified length. The maximum length of the exhaust duct shall be 25 feet (7620 mm) from the connection to the transition duct from the dryer to the outlet terminal. Where fittings are used, the maximum length of the exhaust duct shall be reduced in accordance with Table M1502.4.4.1.
The plans indicate a linear footage of 18' and doesn't indicate developed length. I'm afraid they will exceed the 25' max taking into account the required turns and so forth. I will be talking with the architect at a meeting in a bit and will question this.
BS