A method for amplifying a plurality of target sequences that minimizes amplification artefacts is provided. A sample of interest is fragmented into fragments, where each fragment that includes a target sequence has at least one defined end sequence. Selector constructs, all comprising a primer pair motif and each individual selector comprising one or two protruding ends complementary to the defined end sequences of the fragments containing the target sequences, are brought in contact with the fragments. After ligation, the selected target sequences are amplified in parallel using a primer-pair specific for the primer-pair motif common to the selectors.