What is the ruling on using clothes and products from companies that place their logo on their products, if the logo is a complete image of an animal, or just an animal's head, or merely a general outline of the animal's shape without details?

It is impermissible to purchase or use clothes that have visible images of living beings (human or animal) on them, whether for men, women, or children. This is due to the forbidden glorification it entails according to Islamic law, and based on the Prophet's ﷺ saying: "The angels do not enter a house in which there is an image." If the image is only of the head, the ruling does not differ from that of a full image, as the presence of the head is the basis for considering it an image. As for images that are merely a bodily outline and do not show facial features (such as the nose and eyes), they are not included in the prohibited images.