Abstract: There are provided processes for recovering a “heart-cut” liquid-lignin fraction from a lignin-containing stream such as a black liquor stream from a paper making process or the crude lignin stream within a non-destructive biomass conversion process by carbonating, acidifying and recovering the liquid-lignin fraction. The processes generally include reacting black liquor with a carefully selected amount of carbon dioxide (CO2), to decrementally reduce the pH of the black liquor and produce fractions of a dense liquid-lignin precipitate at each pH decrement to about a pH of 8. The sequential reduction in pH is less than or equal to about 1.5 in most embodiments, less than 1.0 in other embodiments, and less than 0.50 in still other embodiments. It has been discovered that lignin recovered from the dense liquid-lignin precipitate at the different pH decrements can have different molecular weight ranges and/or structures.