Is it permissible to use free images from search engines and design websites to place and print them on T-shirts and sell them?

It is permissible to benefit from and sell images found on clothes, so long as they do not include anything religiously forbidden, such as being hand-drawn or depicting a woman displaying her adornments, and provided that their original owners do not prohibit their use; otherwise, it is not permissible to infringe upon their rights. If you are the manufacturer of these clothes and you place these images on them, then there is no problem. However, if they bear the trademarks of other companies, this could harm these companies and be an infringement on their rights.