Formal:
* The orchestra will conduct a performance of Beethoven's Fifth Symphony. (meaning: lead and direct the performance)
* The scientist conducted a series of experiments to test the hypothesis. (meaning: carried out or performed)
* The company conducted an internal investigation into the data breach. (meaning: carried out or performed)
Informal:
* My boss conducted a meeting to discuss the new project. (meaning: held or led)
* She conducted herself with grace and dignity throughout the ordeal. (meaning: behaved or carried herself)
* I need to conduct some research before I write my paper. (meaning: carry out or perform)
Let me know if you'd like more examples, or if you have a specific situation in mind!