In two recent papers, Kathiravan, Srinivas, and Sangale and Kathiravan, Sangale, and Majumdar proved several congruences satisfied by (ℓ,k)-regular partitions; that is, partitions whose parts are not divisible by integers ℓ or k. In this short note, we generalize some of their results, and prove two infinite family of congruences modulo 2 and one infinite family of congruences modulo 12. Our proofs involve only elementary techniques.