Answer:
From paragraphs 30-31, the author refines their idea of the Declaration of Independence by revealing that their call for independence was because they were being oppressed by the British and have made several petitions for redress in a humble way, appealed to them for justice but they were being turned down and even maltreated for it.
Therefore, they rise up to be free and separate from the British.
Below are evidences that supports my answer:
From Paragraph 30:
<em>"In every stage of these Oppressions We have Petitioned for Redress in the most humble terms: Our repeated Petitions have been answered only by repeated injury."</em>
From Paragraph 31:
"<em>We have appealed to their native justice and magnanimity, and we have conjured them by the ties of our common kindred to disavow these usurpations, which, would inevitably interrupt our connections and correspondence. They too have been deaf to the voice of justice and of consanguinity. We must, therefore, acquiesce in the necessity, which denounces our Separation, and hold them, as we hold the rest of mankind, Enemies in War, in Peace Friends</em>."
Explanation:
The paragraphs are part of "The Declaration of Independence" which was written by Thomas Jefferson by the consent of the committee. It stated the clear reasons the people of America sought for independence from the British. The tyranny and injustice from the Prince was unbearable so they needed to separate.