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Usually CPU core starts with 1-1.1V and drops in few steps until 0.6-0.7V in 5-10s.
If donor board resistors are placed in the same manner as your board, then direct CPU swap should be supported.
Is the data line for backlight control; between CPU and T-CON.
I don't think changing CPU is an option; better to buy another machine.
You can still use this one with an external monitor/TV.
Schematic alone probably doesn't help.
Check the CPU's donor board configuration.
BTW, what is CPU core behavior?
It should drop from 1V to 0.6V aprox.
Usually 50V means no connection to LED strips.
Sometime this issue may be solved by DFU restore; if no electronic problem is found.
First check continuity between MLB and T-CON board.
You may have bad video connector on the MLB (JP600), or broken trace.
"LC710 : 2.2 volt"
Bad; CC715 should have 3.3V.
No reason to check backlight circuitry, until get correct voltage there.
Compare diode mode to ground reading with good board.
Check all resistors (RC709-13) and traces from feedback network.