Thanks for your question - I am Sam and I am one of the UK tax experts here on Just Answer.
Yes you will actually remain liable to income source 2 as this arises and is paid in the UK - but if you spend less than 90 days a year in the UK (none of which are to perform any duties as a partner) and also plan to remin living and working outside of the Uk for at least one full tax year (so beyond 05/04/2018) - then you can complete form P85 for HMRC (leaving the UK) and they will issue code NT if you are salaried and allow a tax free consideration if you just receive a share of the partnership LLP profits.
Link here for form P85
You should also note regarding the rental income, that unless you apply for the Non Resident Landlord scheme then your managing agent (if you have one) or your tenants must deduct tax from the gross rents and pay these over to HMRC
The Non Resident landlord scheme allows you to receive gross rents without any deduction of tax
However each year you will need to complete a self assessment tax return to declare the rental income and the partnership LLP income - and then ill in a residency form so HMRC can determine your continuing non residency position.
Let me know if I can assist further
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