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1. **Clean the Surface**: Start by thoroughly cleaning the cement surface to remove any dust, dirt, or debris. You can use a broom or vacuum for loose particles and a mop with a mild detergent for stubborn spots.

2. **Grind the Surface**: For a truly smooth and shiny finish, you may need to grind the cement surface. Use a concrete grinder to remove any unevenness and to expose the aggregate if you're aiming for a terrazzo-like finish. This step is crucial for achieving a high level of shine.

3. **Polish**: After grinding, use a concrete polishing machine with progressively finer diamond pads to polish the surface. Start with a coarser grit and work your way to finer grits. Each pass will smooth out the surface and bring out a shine.

4. **Buff and Maintain**: After the sealer has dried, you can buff the surface to enhance the shine further. Regular maintenance, including cleaning with appropriate products, will help maintain the polished look.