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Two protons alone won't stick together - their electrostatic repulsion is too strong. If there are also neutrons involved, the strong force can become stronger than the electrostatic repulsion - for example, in the simplest case of Helium-3, two protons and one neutron will stick together. The neutron helps provide the strong force to keep the protons together; the two protons by themselves don't have enough attraction through the strong force to overcome the electrostatic repulsion.

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