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Does put-call parity mean the put and the call option (of the same stock, with same expiration, with same strike price) have the same value/price?

Does put-call parity mean the put and the call option (of the same stock, with same expiration, with same strike price) have the same value/price?If not, for put and call to have the same prices, what must be the relationship between the strike price and the current stock price?

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