State Government
(1) Parliament may by law abolish an existing Legislative Council, or create one where none exists, if the State's Legislative Assembly passes a resolution to that effect by a majority of its total membership and a two-thirds majority of members present and voting. (2) Such a law may contain necessary constitutional amendment provisions and supplemental provisions. (3) Such a law is not deemed a constitutional amendment for Article 368 purposes.
A state can gain or lose its second House (the Legislative Council) - but only if its own Legislative Assembly first votes, by a demanding special majority, to request the change, after which Parliament passes an ordinary law to actually make it happen. Interestingly, even though this technically changes the Constitution's own text, it's specifically NOT treated as a formal "constitutional amendment" requiring the more elaborate Article 368 procedure.
Andhra Pradesh has both abolished and later recreated its Legislative Council at different points in its history, using exactly this mechanism - the state assembly resolving to make the change, followed by a simple Parliament law giving it effect.