Some embodiments provide a system for implementing a logical network that includes a set of end machines, a first logical middlebox, and a second logical middlebox connected by a set of logical forwarding elements. The system includes a set of nodes. Each of several nodes includes (i) a virtual machine for implementing an end machine of the logical network, (ii) a managed switching element for implementing the set of logical forwarding elements of the logical network, and (iii) a middlebox element for implementing the first logical middlebox of the logical network. The system includes a physical middlebox appliance for implementing the second logical middlebox.