Complex sentence: Built in the late 1930s for Miami's low-income African-Americans, the LSHP was the second of its kind in the South and the first public housing project in the state of Florida.
Split into simpler sentences: Built in the late 1930s for Miami's low-income African-Americans, the LSHP was the second of its kind in the South. This was the first public housing project in the state of Florida.