There are a number of relays in any usual TV power supply. If you keep hearing relays clicking when you turn it on, I do suspect that one of the relays has gone bad, and/or one or more of the capacitors needs replacing. (I first learned electronics by hanging out with a guy who earned his pocket money doing TV repair, to supplement his pay for working in a gas station. He was a friend of my dad's, and he found it amusing that a 12-year-old girl wanted to learn electronics. When I was a few years older, he and I dated for a while, and he taught me how to ride his motorcycle.)
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