1. Neutrophils: Neutrophils are the most abundant type of white blood cells and are the first to arrive at the site of inflammation. They are the primary cells that dominate the early stages of acute inflammation, which typically occurs within the first few hours (around 4-6 hours) after the onset of injury or infection. Their main function is to phagocytose (engulf and destroy) microbes and release enzymes and proteins that help to break down and dissolve damaged tissue. Although they play a crucial role in the early stages, their numbers tend to decrease after this initial phase, making them less likely to be the predominant cells after 48 hours.

2. Monocytes: Monocytes are the largest of the white blood cells and are part of the mononuclear phagocytic system. They are recruited from the bloodstream to the site of inflammation in response to chemical signals called chemokines. After approximately 24-48 hours of inflammation, monocytes start to predominate the scene. These cells differentiate into macrophages once they have infiltrated the tissue. Macrophages are the "clean-up crew" of the immune system, engaging in phagocytosis, antigen presentation, and the release of cytokines that help coordinate the overall inflammatory response. They are crucial for the later stages of inflammation, which include the removal of debris, repair, and resolution.

3. Eosinophils: Eosinophils are white blood cells that are involved in the immune response to parasitic infections and in the pathogenesis of certain allergic diseases. They are not typically the predominant cells in the general inflammatory response and are more commonly associated with allergic inflammation and parasitic infections. After 48 hours, eosinophils are less likely to be the main cell type unless the inflammation is of an allergic or parasitic nature, in which case they might be present in larger numbers. However, in a typical non-specific inflammatory process, they are not the predominant cell type after this duration.

4. Lymphocytes: Lymphocytes are a type of white blood cell that is essential for the adaptive immune response. There are two main types: T-lymphocytes and B-lymphocytes. While they are involved in the later stages of inflammation, particularly in the adaptive immune response, they are not typically the predominant cells after 48 hours in a general acute inflammatory setting. Lymphocytes are more likely to be found in higher numbers during the later stages of inflammation, particularly during the resolution phase or in chronic inflammation, when the body is mounting a more specific response to the invading pathogen.