The Random Number Log.vi in the above example has no terminals connected at all (right-click on icon ... show connectors). It only has a single output terminal, the graph. Notice that it is set to "log at completion".
When used in scan through reads.vi, it is set to "Enable database access". This wraps the database access "halo" frame around them, which contains the database related connectors. (Right click on them ... "Disable database access" to remove the halo and associated connetors).
The above quoted article has more details.