Hi.
The point is that with LCD TV (which are very different from computer repair) you often need testing before finding the fault. In this case you have replaced amost everything, the fault then is either the T-con, the main boardm (which are only parts with panel and chassis that you have not replaced), or one of the parts already replaced that had failed because of incorrect installation procedure.
Since it is very easy to fry a board, and since a technician diagnosed the inverter (I assume that they tested the TV), testing will start right from the inverter. The inverter is tested reading DC in from main board to master, dc from master to slave, and AC high voltage out from slave, which hosts the oscillator section that should also be tested using an oscilloscope.
Since the TV is in forced standby (protection because the fault is detected), in order to get DC to inverter from main, the control line to correspondent DC voltage from PSU must be activated. The inverter voltage is the higher DC line from PSU. This is activated jumping the control line with the 3.3 or 5V low DC from PSU. In this way both PSU and inverter get tested. The procedure is also a superficial test for some main board functonalities. This kind of test is done with live power and involves testing high voltage lines. For safety reasons the operation must be done by a trained person.
The alternative is once again taking a chance and replacing main and T-con, but as said, that is not a good way of repairing a 42'' TV.
Here parts for this TV.
Regards.
Ginko.