Yes, mosaic tile display boards made from MDF (medium-density fiberboard) can be durable when properly constructed and maintained. Here are some factors to consider regarding the durability of MDF display boards for mosaic tiles:

1. **Material Quality**: The durability of MDF display boards depends on the quality of the MDF material used. Higher-density MDF tends to be more durable and less prone to warping or damage over time.

2. **Construction**: The construction method and techniques used to assemble the display board can significantly impact its durability. Properly sealed edges, reinforced corners, and sturdy support structures contribute to the overall strength and longevity of the display board.

3. **Surface Finish**: Applying a durable surface finish, such as laminate, veneer, or paint, can enhance the durability of the MDF display board. The finish not only protects the MDF from moisture and scratches but also adds to its aesthetic appeal.

4. **Weight Distribution**: Proper weight distribution is essential to prevent the MDF display board from bowing or sagging under the weight of the mosaic tiles. Ensure that the board is adequately supported and that heavy tiles are evenly distributed across the surface.

5. **Maintenance**: Regular maintenance and care can prolong the life of MDF display boards. Avoid exposing the board to excessive moisture or direct sunlight, as these factors can degrade the MDF over time. Clean the surface gently with a damp cloth and avoid using harsh chemicals or abrasive cleaners.

6. **Usage Environment**: Consider the environment in which the MDF display board will be used. If it will be subjected to high levels of humidity, temperature fluctuations, or heavy foot traffic, additional measures may be necessary to ensure its durability, such as sealing the edges with waterproof sealant or reinforcing the backing.

Overall, MDF display boards can be durable and suitable for showcasing mosaic tiles, especially when designed and constructed with quality materials and craftsmanship. Be sure to assess your specific needs and usage requirements when selecting a display board to ensure its long-term durability and performance.