Praise be to Allaah.
There is nothing wrong with keeping Islamic magazines that contain pictures, because a person keeps them for the useful information in them, not for the pictures. As for magazines which are published and bought and kept for the sake of the pictures in them, these are haraam and it is not permissible to keep them, because the angels do not enter a house in which there are pictures.
Liqa’ al-Baab al-Maftooh, 52/52.
If the magazine is useful and you want to keep it, then blot out whatever pictures are on the cover. And Allaah knows best.