You can purchase a "pig-tail" from the dealer and splice it in.
Usually you replace the egr valve.
To effectively perform wire repair for a damaged electrical connection, follow these steps: Cut out the damaged section of the wire. Strip the insulation from the ends of the wire. Twist the exposed wire ends together. Solder the twisted wire ends for a secure connection. Insulate the repaired area with electrical tape or heat shrink tubing.
If it is a broken conductor connection, you can solder the connections. Someone please add some more, this is not a complete answer.
change the egr valve
Below is a DIY on cleaning up the Prelude's EGR.
Could be an EGR port clogged with carbon. Remove and clean EGR and EGR ports.
To fix the earth connection of the Audi A4 front lights, first, inspect the ground wire and its connection to the vehicle's chassis for any corrosion or damage. Clean the contact points and ensure a secure connection by tightening any loose bolts or screws. If the wire is frayed or damaged, consider replacing it with a new one. Finally, test the lights to ensure they are functioning properly after the repair.
Normal cause if a failed egr valve.
replace the egr valve
In my experience most problems are either a bad ground connection, or a short circuit somewhere. Shorting will probably be due to a chaffed wire, or loose connection.
You replace the EGR valve.
A 1997 Dodge Ram doesn't have a EGR valve.