I have the same E07-1 code and found the same it would run with the lp valve out and plugged off. My customer only has 6500 hours on their Toyota but this machine has been a lemon since they bought it. So many problems like this. I'm not impressed with Toyota's recent model. Nothing like an old Carbed 4Y eh. I'm glad you found a broken wire in the harness because that's my next step. Thanks for keeping us posted.