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Aims: The study is aimed at discovering new objects with the B[e] phenomenon in the Large Magellanic Cloud.    Methods: We report medium-resolution optical spectroscopic observations of two newly found (ARDB 54 and NOMAD 0181-0125572) and two previously known (Hen S-59 and Hen S-137) supergiants with the B[e] phenomenon in the Large Magellanic Cloud. The observations were obtained with the GMOS spectrograph at the southern Gemini telescope.    Results: The optical spectra and the fundamental parameters of ARDB 54 and NOMAD 0181-0125572 are presented for the first time. We found that the Balmer line profiles of Hen S-59 and Hen S-137 were different from those observed in their spectra nearly 20 years ago. We suggest a higher effective temperature and luminosity for both objects. With the new fundamental parameters, the lowest luminosity for known supergiants with the B[e] phenomenon in the Magellanic Clouds is higher that previously thought (log L/L&sun; ~ 4.5 instead of 4.0). The object Hen S-59 may be a binary system based on its UV excess, variable B - V color-index and radial velocity of emission lines, and periodically variable I-band brightness.Fil: Levato, Orlando Hugo. Consejo Nacional de Investigaciones Cienti­ficas y Tecnicas. Centro Cientifico Tecnologico San Juan. Instituto de Ciencias Astronomicas de la Tierra y del Espacio; ArgentinaFil: Miroshnichenko, A. S.. University of North Carolina at Greensboro. Department of Physics and Astronomy; Estados UnidosFil: Saffe, Carlos. Consejo Nacional de Investigaciones Cienti­ficas y Tecnicas. Centro Cientifico Tecnologico San Juan. Instituto de Ciencias Astronomicas de la Tierra y del Espacio; Argentin

New objects with the B[e] phenomenon in the Large Magellanic Cloud