The theme expressed in both excerpts is best represented by option B: Americans must continue the deceased soldiers' fight to preserve both democracy and equality.
In Roosevelt's excerpt, he emphasizes the importance of freedom, human rights, and a cooperative world order, which aligns with the values of democracy and equality. Lincoln’s "Gettysburg Address" reflects on the sacrifices made by soldiers to ensure that a government of the people, by the people, and for the people shall not perish — a core principle of democracy and equality. Both excerpts underscore the idea of continuing the struggle for these ideals.