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These types of situations are always difficult. You are at somewhat of a disadvantage if you do not have such stipulations in writing which was agreed upon before taking occupancy. None the less most jurisdictions allow eviction from any property with adequate notice for almost any reason.
You need to clearly spell out in writing your full expectations. This is typically done in a "cease and desist" letter. If the behavior does not stop then it should be made aware that you fully intend to evict. When and if to begin the eviction process is up to you. Note that such laws very by jurisdiction but you typically need to provide a notice of eviction 14 days before the date of eviction (commonly called a 2 week notice). If the tenant has not left the property by the end of that time then you are within your rights to bring legal action toward the individual and/or contact the authorities and have the person forcibly removed.
Legally in most jurisdictions you can immediately send an eviction notice if you want them out. It's better however to first provide a "cease and desist" letter. The reason for this is that it shows that you acted in "good faith" and to try and correct undesired behavior before evicting. This is important should the tenant choose to take legal action against you.
In most cases the threat of legal action against an individual is sufficient enough to motivate them to change or find a new residence. During this time you will need to seek a new tenant if you would like to continue to keep the space occupied.
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