Supernovae 2016bdu and 2005gl, and their link with SN 2009ip-like transients: another piece of the puzzle

PRIN-INAF; MIUR PRIN; Royal Society - Science Foundation Ireland University Research Fellowship; European Union through ERC [320360]; US National Science Foundation (NSF) [AST-1515876, AST-1515927]; NSFC [11573003]; Chinese Academy of Sciences [XDB09000000]; National Aeronautics and Space Administration (NASA) - Space Telescope Science Institute (STScI) [HST-HF-51348.001]; NASA [NAS 5-26555, NN12AR55G, NNX08AR22G, NNX12AR65G, NNX14AM74G]; NSF [AST-1515927, AST-1211916, PHY-1607611, AST-1313422, AST-1413600]; TABASGO Foundation; Christopher R. Redlich Fund; Miller Institute for Basic Research in Science (U.C. Berkeley); STScI [HST-AR-14295]; DOE [DE-FG02-97ER25308]; FONDECYT [1151445]; Ministry of Economy, Development, and Tourism's Millennium Science Initiative [IC120009]; ERCgrant [291222]; Emil Aaltonen Foundation; Finnish Cultural Foundation; Vilho, Yrjo and Kalle Vaisala Foundation of the Finnish Academy of Science and Letters; EU via ERCgrant [307260]; Quantum Universe I-Core program by Israeli Committee for Planning and Budgeting; ISF; Kimmel award; Israel Science Foundation, Minerva; I-CORE Program of the Planning and Budgeting Committee; Israel Science Foundation; Danish Agency for Science and Technology and Innovation through Sapere Aude; Villum foundation; Instrument Center for Danish Astrophysics (IDA); Gordon and Betty Moore Foundation [GBMF5490]; Center for Cosmology and Astro-Particle Physics (CCAPP) at OSU; Chinese Academy of Sciences South America Center for Astronomy (CASSACA); Mt Cuba Astronomical Foundation; US NSF [AST-1238877]; UK Science and Technology Facilities Council; NASA; NSF