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The rewards from Ventures are stored in your online Venture inventoryInventory that is found within the Player Inventory (see image at the end). Something you unlock in one save game can be available in a new game too.
About your ships
What is flying through the multiverse will be your ship. It will have your module selection, your paint mod, your crew, the name you gave it, and even your logo (other players will only be able to see custom logos if they have your logo in the custom logos folder).
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Visitors from other universes can enter your universe (as long as you are logged in) and your mods will apply to the visitors. However, you cannot send ships on ventures from a modified game yourself, and nothing you do to visitor ships will be fed back to the person who sent them.
