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Considering an inhomogeneous plasma having cold positive and negative ions, together with two temperature nonisothermal electrons in the presence of an external magnetic field, the relevant Korteweg-de Vries (KdV) equation is obtained by adopting a reductive perturbation technique. An investigation on the existence and propagation of the modes in such a plasma model reveals that two types of the modes (fast and slow modes) are possible. The KdV equation is solved for its solitary wave solution for both the modes, and the amplitude and width of the resulting fast and slow solitons are examined under the effects of the concentration and temperature of the electron species at lower temperature, negative ion density together with the strength of the magnetic field, and its obliqueness thetas (the angle between the directions of the magnetic field and the wave propagation). It is observed that the properties of the solitons are significantly modified by the presence of the colder electron species and the nonisothermality of the plasma. Unlike the usual case of negative ion containing plasmas, the rarefactive solitons do not occur in the present plasma model.