"Shutdown" in a show running configuration

Solution 1:

No you're right. shutdown basically means that a interface is.. You guessed it! Shutdown.

no shutdown on the other hand means that the interface has been brought up.

Shutdown doesn't only operate on interfaces, for example EIGRP when configured with IPv6 it is per default in shutdown mode.

Solution 2:

An interface in shutdown means the interface is administratively down.

Cisco device interfaces have two "down" modes, both of which influence the actual working mode of the interface: if either is "down", then no traffic is possible.

The shutdown command puts the device in administratively down mode, while a network-level error or disconnected cable puts it in "line down" mode.

The actual status of each interface can be seen with show interface status