Hi It's still in the age range of the bad soldering, so I would check that anyways. If it does absolutely nothing on power-up, no relay click, no power cycling, nada, then it is likely something in the stand-by power supplies, or the main power supply. You really need a schematic for these sets since the circuit board has so many surface mount parts it is difficult to trace out by eye. If I remember right, yours is all large parts on the top, all surface mount on the bottom.
If you do an internet search for CTC146, or TV repair faq or TV repair help you will find several message boards that list faults common to these sets.
Since there are somany things that could go wrong, its hard to give specifics, sorry.