A leader of the Legislature’s substance abuse committee said Thursday that she and her colleagues will draft a bill to try to weed out the growing numbers of private group homes for recovering addicts that are triggering neighborhood complaints about drug overdoses and reckless partying.

“We want to drive business to the positive places,” Representative Elizabeth Malia, a Democrat from Jamaica Plain and cochairwoman of the Joint Committee on Mental Health and Substance Abuse, said after a State House hearing on so-called sober homes, low-budget rental units that are expanding in many places in the state.