Purchases should carry over between devices as long as you are logged into the same account. Purchases can not be transferred between platforms, however; you can not buy potato from Google and expect same from iTunes.
If you have lost anything that you have purchased, we can help restore them (even if it was bought with filthy Capitalist money!) if you email us at email@example.com with the following:
1. Your Account ID (go to Rank screen>Cog icon>bottom of screen)
2. Any purchase receipt(s) you have, confirming any purchase or a screenshot of your app store purchase history showing the transactions for AdVenture Communist
3. A screenshot of your current Shop screen