Use APKPure App
Get Sqlite installer for root old version APK for Android
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YOU MUST BE ROOT!
A lot of root applications need the sqlite binary installed, this application do the trick with one click.
SQLite is a software library that implements a self-contained, serverless, zero-configuration, transactional SQL database engine. SQLite is the most widely deployed database engine in the world. The source code for SQLite is in the public domain.