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When using an indicator in a titration, the color changes happen when the titrant has reacted with all the substance of interest in the sample. As soon as the titrant isn't reacting with the sample any more, it starts reacting with the indicator, and continuing past the first hint of color will be using too much titrant, and the calculations for the concentration of the sample will be wrong.

Phenolphthalein starts out pink, but will turn red as the pH keeps changing as you go further past the endpoint of the titration.

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