On that pic you haven't put the wires in yet, so the ratsnests will still be visible. Only when things are connected do the ratsnests disappear.
The usual mistake is that you are probably not trusting the ratsnest, and are connecting parts differently from the SCH. The SCH is the master, so you have to trust the ratsnests in other views.
I do circuits with 150 parts and never have problems, that one only has 50, it just takes practice.