If any municipality, before it becomes the borough of a united city, has instituted proceedings to improve any street or alley or to construct any authorized public works by special assessment or special taxation, the proceedings may be carried to finality in the name of the municipality. Likewise, any proceeding by such a municipality to take land in order to open a street or alley or to construct authorized public works may be carried to finality in the name of the municipality. Proceedings to collect and enforce any resulting special assessments or taxes and the disposition of the proceeds thereof shall be governed by Section 7-2-11.