At the beginning of August, there is LTC halving. Does Btc and ltc move together or does ltc increase independently?
I think it will increase independently. because it is a private event of Litecoin and other alts will not be relevant. And this growth will not be too high and it will not make the market green. We should expect it in Bitcoin Halving, the most powerful coin.

btc is moving positively at most times so who knows , there is a possiblity or a co incedent rather that could happen during the ltc halving where btc could also increase on its own not because the help of ltc/halving but because of the demand alone .
and how can you say that the price of ltc wont go high ? i disagree with that because alot of people are saying that havling can improve the price of a cryptos drastically but your right that btc is still the most powerful coin and its halving can influence the overall crypto market .