Most substances that dissolve in liquid water are insoluble in ice. As the solution freezes, they're forced out of the ice crystals and concentrate in the shrinking liquid phase. If the final temperature is low enough, they precipitate together with the water remaining in the liquid solution, but usually, in a regular freezer you may have at home, a small amount of very concentrated liquid solution remains, coating the ice and trapped in pockets inside it. This liquid will usually have a much stronger taste than the water did before being frozen. You can try it with a solution of salt or sugar, or any fruit juice. If you pick a big piece of clear ice, however, and wash away the layer of concentrated liquid solution, it'll be made of nearly pure water, and hence tasteless. Whether it stays pure after melting depends on where you let it melt, of course, but, if there's nothing for the molten ice to dissolve, this water will have essentially no taste, no matter what the water you initially froze tasted like.
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The red lake has been forgotten. A dust devil stuns you long enough to shroud forever those last shards of wisdom. The breeze rocking this forlorn wasteland whispers in your ears, “Não resta mais que uma sombra”.