When it comes to the concept of "part unrestrained by law free trades," there are a few synonyms that may come to mind. One term that could be used in its place is "open market," indicating an unregulated system where trade can occur without restrictions or constraints. Another potential synonym might be "free enterprise," which refers to a capitalist economy where businesses are allowed to operate with minimal government intervention or regulation. Lastly, the phrase "laissez-faire" could also be considered a synonym, as it represents a hands-off approach to governance and economics, indicating a lack of interference or restriction in free trade activities.