A method for washing laundry in a laundry washing machine comprising: - a washing tub external to a washing drum suited to receive the laundry to be washed; - a water supply system suitable to convey water to said washing tub; - a treating agents dispenser to supply at least one treating agent into said washing tub, one of said at least one treating agent comprising a detergent; - a liquid outlet circuit suitable for withdrawing liquid from a bottom region of said washing tub and draining said liquid to the outside; - an electrical conductivity detecting device that measures the conductivity of the liquid flowing therethrough; the method comprising one or more treating phases for treating said laundry and performing the washing of said laundry; characterized in that the method comprises the steps of: - performing (172; 440) a first measurement of conductivity (Cc) of said liquid through said electrical conductivity detecting device during said one or more treating phases; - comparing (172; 440) said first measured conductivity (Cc) with a first threshold (ΔC1; ΔC31); - performing (430; 480; 482) a second measurement of conductivity (Cc) of said liquid through said electrical conductivity detecting device during said one or more treating phases after said first measurement; - comparing (430; 480; 482) said second measured conductivity (Cc) with a second threshold (ΔC11, ΔC21; ΔC21, ΔC22; ΔC32); - performing one or more actions based on the result of said first comparison step and/or said second comparison step; wherein the value of said second threshold (ΔC11, ΔC21; ΔC21, ΔC22; ΔC32) is lower than the value of said first threshold (ΔC1; ΔC31) wherein: a) said first measurement of conductivity is carried out after introduction of water and detergent into said washing tub and before a draining step wherein liquid is drained to the outside from said washing tub, wherein said comparison of said first measured conductivity with a first threshold (ΔC1) is apt to determine if said detergent is a powder detergent or a liquid detergent and said second measurement of conductivity is carried out during a further treating phase; or b) said first measurement of conductivity is carried out during a first rinsing phase wherein said comparison of said first measured conductivity with a first threshold (ΔC31) is apt to determine if at least one additional rinsing phase is required and wherein said comparison of said second measured conductivity with a second threshold (ΔC32) is apt to determine if at least one further additional rinsing phase is required. - a washing tub external to a washing drum suited to receive the laundry to be washed; - a water supply system suitable to convey water to said washing tub; - a treating agents dispenser to supply at least one treating agent into said washing tub, one of said at least one treating agent comprising a detergent; - a liquid outlet circuit suitable for withdrawing liquid from a bottom region of said washing tub and draining said liquid to the outside; - an electrical conductivity detecting device that measures the conductivity of the liquid flowing therethrough; - performing (172; 440) a first measurement of conductivity (Cc) of said liquid through said electrical conductivity detecting device during said one or more treating phases; - comparing (172; 440) said first measured conductivity (Cc) with a first threshold (ΔC1; ΔC31); - performing (430; 480; 482) a second measurement of conductivity (Cc) of said liquid through said electrical conductivity detecting device during said one or more treating phases after said first measurement; - comparing (430; 480; 482) said second measured conductivity (Cc) with a second threshold (ΔC11, ΔC21; ΔC21, ΔC22; ΔC32); - performing one or more actions based on the result of said first comparison step and/or said second comparison step; a) said first measurement of conductivity is carried out after introduction of water and detergent into said washing tub and before a draining step wherein liquid is drained to the outside from said washing tub, wherein said comparison of said first measured conductivity with a first threshold (ΔC1) is apt to determine if said detergent is a powder detergent or a liquid detergent and said second measurement of conductivity is carried out during a further treating phase; or b) said first measurement of conductivity is carried out during a first rinsing phase wherein said comparison of said first measured conductivity with a first threshold (ΔC31) is apt to determine if at least one additional rinsing phase is required and wherein said comparison of said second measured conductivity with a second threshold (ΔC32) is apt to determine if at least one further additional rinsing phase is required.