Is there any way to update I have bought Solid Explorer from the playstore. I've recently bought a LYF Flame 6, which doesn't support Google Play Services, but has playstore and works just as it is supposed to. But, still I if I download Solid Explorer, it shows that only the trial version is supported. I tried manually installing a pro apk, which doesn't give updates directly from the play store. I can't download the apk each and every time a new update is released. The app doesn't show in the list of "My apps". Is there anyway to force Playstore to show Solid Explorer in the list of my apps?
An app downloaded outside of the Play Store can't   be updated using Google Play update mechanism, it  won't appear in the downloaded list as well simply because not  your Google account that downloaded it. 

An app downloaded from Google Play may not modify, replace or update its own APK binary code using any method other than Google Play's update mechanism.

The paid version isn't showing up may be because the developer has put restrictions regarding your country or your Android version, etc.

Update:
Try downloading your apps from a third party market such as Monogenie or Aptoide, you'll be notified whenever an update is available.