Well Darwin believed that a Lamarckian inheritance of acquired characteristics could be used in conjunction with natural selection (mainly due to the fact, that in Darwin's time, there was no understanding of inheritance at all). Darwin did not have the concept of a gene, and not understanding the nature of inheritance was a major problem for Darwin. (It was Mendel who first came up with an atomistic theory of inheritance).
Nowadays we understand how inheritance works (genes made of dna), and we know Lamarckism to be emphatically false.
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