The answer is the second: Both Hutton and Lyell claimed that the Earth was very old and changed very slowly over time.
Explanation:
During the 19th century, the common thought was that everything in heaven and on Earth was made by God and had biblical origins. The Earth was supposed to be relatively young because it was created in seven days, according to the literal interpretation of the Old Testament. Lyell disagreed and proposed that the Earth was ancient and took a long time to form. Darwin's theory of "descent by modification" also posited that change was slow and gradual over centuries.
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