Complex sentence: Just as their ancestors, they have combined several traditions and religions with their own Kasepuhan tradition; that is, they are influenced by Islam, Sundanese traditions, Pajajaran traditions and thus Hinduism, and also animism.
Split into simpler sentences: Just as their ancestors, they have combined several traditions and religions into their own Kasepuhan tradition. To be more precise, the Kasepuhan are influenced by Islam, Sunda tradition, Pajajaran tradition and thus Hinduism, and also animism.