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In bio the bonds that we are talking about are usually occurring in water or some type of solution. It is because of the properties of water that make covalent bonds stronger than ionic bonds. Ionic molecules such as NaCl easily dissolve in water, but bonds with more covalent properties don't dissolve as easily.
It depends on both the type of ionic or covalent bonds. It's also important to remember that no bonds are truly ionic or covalent. All charges are shared to a degree. In ionic bonds, the charges are more unequally distributed than those on covalent bonds.
Biology, being the study of organisms, is focused on the life processes in organisms. For the most part, organisms are made up of mostly water and thus the focus of biological chemical reactions are ones that occur in an aqueous environment. Ionic bonds are indeed stronger because of equal sharing of electrons, but they are easily broken apart in water. As a result, covalent bonds are seen as stronger in Biology because biological equations mostly focus on water.
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