Laundry washing-drying machine comprising: - a washing tub containing a rotatable drum adapted to receive laundry; - a water supply circuit to supply water into said washing tub; - a washing product supplier to supply a washing products into said washing tub; - a drain circuit provided with a drain pump which activation causes liquid to be drained from said washing tub; - a control unit configured for making said laundry washing-drying machine to perform a washing-drying cycle comprising the following phases: a) a wetting phase in which clean water and washing detergent are admitted into said washing tub; b) a main washing phase during which said rotatable drum is rotated at speed causing the laundry to tumble inside said rotatable drum; c) a first drain phase in which said drain pump is activated for draining liquid from said washing tub; d) a rinsing phase comprising two or more rinsing cycles wherein clean rinse water is first added to the laundry, said rotatable drum is rotated at speed causing the laundry to tumble inside said rotatable drum, and then said drain pump is activated for draining rinse water from said washing tub, e) a final spin phase during which said rotatable drum is rotated at a speed above a threshold speed value of 90 rpm at which the laundry sticks to the lateral surface of the rotatable drum, so as to squeeze said laundry and extract water from the latter, and said drain pump is activated for draining liquid from said washing tub; f) a hot-air drying phase during which hot air is circulated into said rotatable drum so that it passes through the laundry, removing moisture from the latter, characterized in that between the end of said a main washing phase b) and the second of said two or more rinsing cycles of said rinsing phase d), the speed of said rotatable drum is kept below said threshold speed value at which the laundry sticks to the lateral surface of the rotatable drum. - a washing tub containing a rotatable drum adapted to receive laundry; - a water supply circuit to supply water into said washing tub; - a washing product supplier to supply a washing products into said washing tub; - a drain circuit provided with a drain pump which activation causes liquid to be drained from said washing tub; - a control unit configured for making said laundry washing-drying machine to perform a washing-drying cycle comprising the following phases: a) a wetting phase in which clean water and washing detergent are admitted into said washing tub; b) a main washing phase during which said rotatable drum is rotated at speed causing the laundry to tumble inside said rotatable drum; c) a first drain phase in which said drain pump is activated for draining liquid from said washing tub; d) a rinsing phase comprising two or more rinsing cycles wherein clean rinse water is first added to the laundry, said rotatable drum is rotated at speed causing the laundry to tumble inside said rotatable drum, and then said drain pump is activated for draining rinse water from said washing tub, e) a final spin phase during which said rotatable drum is rotated at a speed above a threshold speed value of 90 rpm at which the laundry sticks to the lateral surface of the rotatable drum, so as to squeeze said laundry and extract water from the latter, and said drain pump is activated for draining liquid from said washing tub; f) a hot-air drying phase during which hot air is circulated into said rotatable drum so that it passes through the laundry, removing moisture from the latter, a) a wetting phase in which clean water and washing detergent are admitted into said washing tub; b) a main washing phase during which said rotatable drum is rotated at speed causing the laundry to tumble inside said rotatable drum; c) a first drain phase in which said drain pump is activated for draining liquid from said washing tub; d) a rinsing phase comprising two or more rinsing cycles wherein clean rinse water is first added to the laundry, said rotatable drum is rotated at speed causing the laundry to tumble inside said rotatable drum, and then said drain pump is activated for draining rinse water from said washing tub, e) a final spin phase during which said rotatable drum is rotated at a speed above a threshold speed value of 90 rpm at which the laundry sticks to the lateral surface of the rotatable drum, so as to squeeze said laundry and extract water from the latter, and said drain pump is activated for draining liquid from said washing tub; f) a hot-air drying phase during which hot air is circulated into said rotatable drum so that it passes through the laundry, removing moisture from the latter,