What is the difference between Mixed Economy and Market Socialism?

The main difference between market socialism and the mixed economy is how much the government is involved. Market socialism usually shows that the government is more involved because there are many firms that are involved. The government will be in charge of so many things, such as setting the prices of the items that need to be sold. The government will also be in charge of eliminating some of the social inequalities that are happening.
The government may intervene in order to gain control of some of the big aspects that can help correctly allocate the wealth and the various resources that are available to the people involved.