Basically, the liquidity pool will contain a split of 50/50 between LZN and BNB in the pool to balance out the ratio. The price of start would depend on the start of the conversion ratio between BNB to LZN.
For example, when someone buys, they put in more BNB into the pool while removing LZN from the pool, creating a higher balance of BNB instead of LZN in the pool which in turn increases the value of LZN to BNB ratio. This what makes the price of LZN to increase higher in return.
By having a liquidity pool, users are free to buy and sell LZN at any given time as long there is enough liquidity inside the pool (BNB/LZN). To ensure the liquidity does not goes empty, this is where the LPALS system is utilize by Luzion Protocol by constantly adding liquidity.