Final answer:
People dissolving the political bands are formally ending their political connections, as stated in the Declaration of Independence.
Step-by-step explanation:
When people dissolve the political bands which have connected them with another, they are dissolving political connections. This phrase originates from the Declaration of Independence, a historic document from the era of American history when the thirteen colonies declared their independence from Great Britain. The term 'dissolve' in this context refers to the formal ending of political ties, and it does not suggest the use of force, but rather a decision that the colonies felt they had the right to make according to the Laws of Nature. Thus, the correct answer to the question is that they are dissolving political connections, not dissolving personal relationships or being forced to separate or unite.